{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f09a245a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFFCAYAAAA0BT7IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAACL/ElEQVR4nOzdd1xV5R/A8c/DRlEcoIji3qty5s4yNc2ZlqWZlSst09JypWWO1MyW+suGK1eZNsyVmSstU0tT3OLAhSzZcC/3+/vjwonLEhS4gM/79bovOPt7zoX7vc85z1AigqZpmqZpecvB3gFomqZp2r1IJ2BN0zRNswOdgDVN0zTNDnQC1jRN0zQ70AlY0zRN0+xAJ2BN0zRNswMneweQm7y8vKRy5cr2DkPTNE27Rx06dChYRLzTW1aoE3DlypU5ePCgvcPQNE3T7lFKqYsZLdO3oDVN0zTNDnQC1jRN0zQ70AlY0zRN0+xAJ2BN0zRNswOdgDVN0zTNDnQC1jRN0zQ70AlY0zRN0+xAJ2BN0zRNswOdgDVN0zTNDnQCzmfMZjNLliyhZs2aXLhwwd7hALB7927efvttHnjgAUaMGIHFYsmzY3fv3p158+YBcPDgQfr168eQIUOyvZ8LFy5Qvnx5Ll7MsFOaHJU61lOnTjF06FC6dOlyR/ubN28ePXr0yMkQNU2zs0LdFWVuO3z4MEOGDOHUqVO0aNGCZcuW4evrayzft28fX331FSVLlsTV1ZV3330XpVSm+zSZTLi6unLmzJncDj9Lbty4wWuvvcbBgwcZOHAgjz76KKGhoXh5eeXJ8YcNG0alSpUAqFmzJkFBQbi5uWV7P+XKlWPSpEmUK1cup0NMV+pYfX19SUhIICYm5o7216lTJ2rXrp2TIWqaZme6BHyHIiIi+PHHH9myZQu///47p06dYvz48cbyy5cv8+yzzzJ//nzmzp2LxWJh1qxZt92vu7s7zZs3z83Qs2Xjxo0UKVIEgKpVq3Lu3Dm2bduWZ6Xzrl27Ur9+fQCKFy+On5/fHe3H1dWVESNG4OLiclfxREZG8umnn952vdSxFitWzPgikRX79+9n165dxnT9+vXp2rVr9oLVNC1fy/MErJRqoJRaqZSanMHyKkqpcKVU5RTznJRSc5VS7ymlliql7s+reDPi7OzM1KlT8fb25r777uOpp57Cyem/Gwrvv/8+bdu2pVixYgD07NmTOXPmEBcXd9t9Ozo65lrc2XX16lUcHP77M/nnn3945ZVX7BbP7e4g5KbY2FiefvppgoODs7R+6lizGvvFixfp378/IpLtGDVNKzjyNAErpYoCpYH2pHP7WynlDLwPeKZaNA8IFpHxwGvAOqVUyVwON1Pu7u42H6ghISG88847xvS2bduoWrWqMV2nTh1u3bqV4ehM+/bt47nnnmPq1KmMHTvWZtmmTZsYNGgQ77zzDo0bN2b37t0kJCTw4osvopRi4sSJxnPZiRMn8thjjxEaGsru3buZMmUKU6dOxcvLiz/++CPdY8+ePZvRo0czatQo2rZty7Vr1wD49NNP2bp1K+fPn2f8+PH88MMPLF++nNDQUObNm8eqVasA+P3335k+fToDBw7koYce4ty5cwQFBRm3fLdt20bZsmX5+OOPbY67f/9++vXrx7Bhw5g9ezYlSpTggQce4NixY8Z5d+rUiWnTpmX4Pvj7+/POO+8wYsQImjVrlu71jY6OZvbs2VStWpULFy4QFBTE22+/jY+PDydOnKBdu3Z4enqyZMkSY5vPPvuMuXPnMnLkSDw8PABYv349//77Lzt27GDy5MnExcWl+95k1bJlyxg2bBgTJkygadOm+Pv7YzabWb16NQEBAXz55ZcsWLCAY8eO8cILL9g8Pw4PD2fcuHFMmTKFbt26MW7cOMxmM1FRUcybN48qVaqwb98+unXrRrFixZg+fXqW49I0LY+ISJ6/gD3A2+nMnwo8CghQOWmeN2AGKqVYbxMw4XbHady4seS2P/74Q5566im577775MiRI8b8okWLyoIFC4xpi8UiSilZvXp1mn0EBQVJxYoVJTg4WEREVq9eLYAEBASIiIiXl5fs3r1bRESGDx8ujz/+uIiImEwmqVmzpsyePdvY16RJk8Tf319ERJo2bSrXrl0TEZFvvvlG9u/fn+bYx44dEycnJ7FYLCIiUrt2bXn//feN5VOnTpV27doZ0wEBATaxXb58WQYPHmwsf/LJJ6Vly5aSkJAgK1euFEDWrl0rW7ZskUOHDtkc22QySZcuXeSBBx6QP/74Q65duyYNGzaU++67TywWi8TFxUmdOnVk6tSpxjbPPfecPPfccyIiEhUVJX379jVif+ONN8TPz0/MZrPNccxms/z+++9G3GazWb799lsBZNmyZZKQkCDvvfee+Pr6iohIRESE1K1b19j+tddeM35v166dTTwZvTepY019LSMiIsTBwUEuXbokIiKdO3eWl19+2VgXkN9++01ERBISEmTYsGE270OHDh1k+/btxvKaNWvKhAkTJDExUQ4cOCCAzJgxQ2JiYmTNmjXi5OQk0dHRomla3gIOSgY5yl7PgBNTz1BKPQacBlLXPno46eelFPNOAI/kTmjZU716dfr164fJZKJTp07ExsYC1tuN7u7uNuuKiM1t6mSffPIJDRs2pHTp0gA8+OCDNsvXrVtH8+bNOXr0KAEBAURFRQHg5OTE+PHj+eSTT0hISMBsNnP+/Hnq1KkDWJ9D9uzZk71799KjRw9q1aqV5tg1a9Zk+/btiAjbtm0jISHB2H9WrFy5klu3bvHhhx/y4Ycf4u3tTYkSJXBwcDAqPPXt25dOnTrRqFEjm22dnJzw9vamYcOGNG/eHB8fHyZPnsyRI0cICAjA1dUVb+90x7EGrM+nQ0ND+eijj/jwww+xWCzUrVs3zS1iR0dHm8pXjo6OxrUeOHAgzs7ONG7c2Cj5Ozk5Gc/wAwICGDduXIYxZPTe3E6xYsXYsmULfn5+7Nu3j+Dg4Ay3dXZ2pmzZssb0kSNH2L59O23btjWWDx06lE8++QSllFFB7plnnsHd3Z3GjRtjNpuzfOtc07S8kS8qYSmlygFtRGR1Oov9gNCkbxLJIoAKGexrqFLqoFLq4M2bN3MhWlulS5emZ8+e/PDDD1y/fp3jx48DUKFCBcLCwoz1kn+vUCFt2P/884/xrDg9pUqV4tVXX+XSpUs0a9bM5tnggAEDcHBwYPny5fz0009069bNWLZixQrKlStHmzZt6NatGyaTKc2+nZ2dCQ0N5bXXXqNMmTL4+fll69njxYsXadiwIaNHj2b06NF8+umn/Pzzzzg6Ohq36LPz3LZBgwbAf9crs20vXrxI5cqVjWPPnTuXLVu22CSrZLd7Huvk5GSct7u7O7/88gv//vsvNWvWZPbs2SQmpvnOCGT+3txOcsUws9lMvXr1Mt02ZbwnT54EsHk/a9SoQVRUFGFhYemeG5Cnzcc0Tbs9uydgpZQDMBHI6CGVALGp5jlgvS2ddmWRxSLSRESaZFZ6ymnVq1endOnSRs3Xxx57jBMnThjLz549S8mSJWnSpEmabT09PfH39093v7du3aJt27aMHTuWxx9/3KZCFFgT6NixY5k9ezbr1q3jiSeeMJZFR0ezYcMG9u7dy8mTJ3njjTfS7H/Xrl2MGTOGDz74gPvvvz/b5+3r68s333xjk6D27t17xxWI4uPjcXBwoEaNGlk69saNG4mMjDTm/fvvv4SHh9/RsZPFxMRQsWJFDh8+zGeffcaiRYtYsWJFmvVu995k5uzZs3Tv3p3Zs2cbJdmsqly5MoDxrDxZuXLlKFnSrlUjNE3LBrsnYKAVMBi4qpQKB44mzT+qlBoPBAKpP1VKJs23m8jISA4dOmRM79q1iyeeeMIofY0cOZKdO3capZT169fzxhtvpHsL+sknn+TIkSNGJaDz588DcP36dc6ePUt4eDhBQUEEBwfz119/ERsby9mzZ43tBw8eTEREBBUqVLBpZjNjxgwSExNp1aoVr7/+erpJ8dChQ8THx3Pr1i2OHz/OpUuXbPZvNpttSlqurq6AtdKZv78//fr14/Tp0zz++ONs2bKFtWvXsnnzZptSWEalx2RXr141fv/111954YUXKF68OEDK+gFpprt27UpiYiKPPPIIP/zwAz/99BP/+9//KFGiRJpjJG+T/DM5ptTXRESIiIhg/vz5ODg4GJWfktdzdXUlJCSE69evc+7cuUzfm8xiP3r0KHFxcYSEhHDp0iX8/f1ttnVxcTGuceptmzdvzoMPPsiCBQuMfe/du5cxY8aglMr03DRNy0cyejicmy9gJ0mVsAA3oHKKV2uspd7WQAnAC4gHyqfYfhPw2u2Ok5uVsH777Tfx8vKSpk2bypgxY2TOnDliMpls1vn5559l+PDh8tZbb8nUqVONykLpef/998XHx0fatm0rs2bNkkqVKsmMGTMkPDxcunfvLiVKlJChQ4fK0qVLxcvLS9auXWuz/fDhw+Xs2bM282rVqiVt27aVOXPmyNChQyUwMDDNcS9fvix169aV8uXLywcffCCvvvqq1KxZU44ePSp79+6VevXqSdGiRWXt2rVGJbHu3btLlSpVZNu2bSIisnXrVqlfv74UL15c+vfvL5GRkXLjxg15/vnnBZC3335boqKi0j3v5557Tho0aCAzZ86U2bNny0svvSQREREiIrJ7924pXbq0tGrVSk6fPi1Hjx6V6tWrS7Vq1eTPP/8UEZGDBw9K8+bNxcPDQ7p06WJUOkspJiZGpk6dKoBMnTpVAgMDZciQIQLIokWLJDAwUF555RUBZOHChXLlyhVRSsmzzz4rc+bMkdGjRxvv7YoVK6RkyZIybtw4MZvNGb43qWM9e/astGjRQkqVKiW//PKLRERESIsWLcTb21smTJggc+bMEV9fX6Pi1ciRI6VcuXKycuVKOX36tLRq1UpKly5tVPi6cuWKdOvWTZ555hmZNGmSzJo1SywWi8TExMjkyZON6x4YGCjTp083zl1XxNK0vEUmlbCU2OFbsVJqF7BTRKams6wyEABUEZELSfMWA3+LyCKlVGngL+ABEbmV2XGaNGkiGTX7KUxMJhPDhg3jq6++snco2TZo0CAAli5datc4NE3TcoNS6pCIpH32SB53RZn0vLcXUAdwVEptFZF9Wdh0DDBXKfUW1spXPW+XfO8FO3fu5MyZM/z77788++yz9g7njtjjC6CmaVp+kKcJWEQswHdJr4zWuQCoVPOigRG5GlwBtHnzZr788kumTZtG+/bt7R1Otu3cuZM///wTEeGPP/5I0/xK0zStMLPLLei8cq/cgtY0TdPyp8xuQeeHWtCapmmads/RCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0OdALWNE3TNDvQCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0OdALWNE3TNDvQCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0OdALWNE3TNDvQCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0OdALWNE3TNDvQCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0OdALWNE3TNDvQCVjTNE3T7EAnYE3TNE2zA52ANU3TNM0O8jwBK6UaKKVWKqUmp5jnpJT6UCkVrJS6qpSappRySLV8rlLqPaXUUqXU/Xkdt6ZpmqblJKe8PJhSqihQGmgPnEmxaDRwEXgE6AS8BwQDHyctnwdcFZHZSqlSwAGlVFMRCcur2DVN0zQtJ+VpAhaRaGCnUupcqkX+IrIp6fcjSqmmQEfgY6WUNzASqJa0j1Cl1GlgODArj0LXNE3TtBxlr2fAiSknUiTfZOeBS0m/P5z081KK5SewlpY1TdM0rUDKr5WwmvHf7Wc/IFREJMXyCKBCehsqpYYqpQ4qpQ7evHkzl8PUNE3TtDuT7xKwUqojsFVETibNEiA21WoOgDm97UVksYg0EZEm3t7euRippmmapt25PH0GfDtKKV/gERF5M8XsQKBkqlVLJs3XNE3TtAIp35SAlVIlgZeBSakW/Qq4KqXKp5hXHdiWV7FpmqZpWk6zVwJWSS/rhFKlsTY1Wg5UUEpVU0oNVkrVE5FgYBnQPcW6tYEv8z5sTdM0TcsZed0O2AHoBdQBHJVSW7HWaN6TNO/5FKufFJE6Sb+PAeYqpd7CWvmqp4jcyrvINU3TNC1n5XU7YAvwXdIrpbq32S4aGJFbcWmapmlaXss3z4A1TdM07V6iE7CmaZqm2YFOwJqmaZpmBzoBa5qmaZod6ASsaZqmaXagE7CmaZqm2YFOwJqmaZpmBzoBa5qmaZod6ASsaZqmaXagE7CmaZqm2YFOwJqmaZpmBzoBa5qmaZod6ASsaZqmaXagE7CmaZqm2YFOwJqmaZpmBzoBa5qmaZodOGVnZaWUK1AR8ARCReR8rkSlaZqmaYVclkrASqmHlVI/A2HASeAAcEYpFaqU+kIpVSM3g9Q0TdO0wibTErBSqgjwP8AV+AGYC9wA4gF3wBdoCCxQSv0sIh/lbriapmmaVjhkWAJWSingbWCOiDwlIotFZKeInBCR8yJyXER+EZF5ItIROKqU6p9XgWsF2969ezGZTDbzvv76a4oUKUKRIkW4cOGCzbLOnTtTpEgROnbsaDP/0qVLxjbLly+3WTZjxgxjmYjYLKtTpw5FihRhyJAhNvP37NljbLNr1y6bZcOGDaNIkSLUqlUrzfkkbzN9+nR9Tvqc9Dnpc0pzTunJrATcBJgtIiFZ2ZGI/KaUekAp5SEiUVk6unbPERE+/PBDxo4dy+DBg/nf//6H9bseJCYmEhsba6yXUnx8PLGxscTHx6fZX/I2iYmJNsvMZrOxLLW4uDhiY2NJSEiwmW+xWIxtLBaLzbKEhARiY2OJi4tLs7/kbVJ/qdDnpM9Jn5M+p4xkmIBF5K+s7EAp1U5EdiVt83eWjqrds0wmE6tWrcJisfD1118zbtw4qlevDkC9evUYN24cAJ6enjbb9evXj6ZNm1KlShWb+cWLFze2qV+/vs2yli1bGstSGzp0KGFhYTRu3Nhmvp+fn7GNn5+fzbLHHnsMb29vSpQokWZ/ydu0atXKZr4+J31O+pz0OWVEpf4WkeGKStUH3gTK8d+tawXUFZGyWdpJHmvSpIkcPHjQ3mFoqVy9epUnnniChQsX8sADD9g7HE3TtFyjlDokIk3SW5adZkg/AseB34GU5W7nu4hNuwdERERQvHhxY9rX15d9+/YZt541TdPuRdlJwCIi3VLPVEqtz8F4tEJm165d9OnTh8WLF9OrVy9jvk6+mqbd67LTE9aHSql66cx3z84BlVINlFIrlVKTU81vmdSmeK5SarpK8QmtlHJKmv+eUmqpUur+7BxTs4/IyEh69+5NcHAwAwYM4Nq1a/YOSdM0Ld/ITgl4E/A/pdTlFPMU0Byom5UdKKWKAqWB9sCZFPP9gBXA/SISqZSaCUwAZiatMg+4KiKzlVKlgANKqaYiEpaN+LU8VqxYMZYvX07fvn1ZtGgR5cqVs3dImqZp+UZ2EvDPgAm4BqSsy53le4kiEg3sVEqdS7VoLLBbRCKTpr8HtimlPgCKASOBakn7CFVKnQaGA7OyEb9mB127duX8+fP4+PjYOxRN07R8JTu3oB2BB0RkoIg8n/wC7qTzjcRU0x2BlP1Kn8Da33QT4OGkeZdSLX/kDo6r5aLAwEC6du3K5cuXbebr5KtpmpZWdhLwDKBKOvMt6czLLj8gZYcfUYAAFZKWhYpte6mIpGVpKKWGKqUOKqUO3rx5MwdC07Li5s2bNG/enE2bNtGtWzeionRfLJqmaZnJTgJuCXyplPoqxWsJsDIH4hAgdXckCjBnsMwhaVnaHVm7zGwiIk28vb1zIDQtK7y9venduzdgbTzv5uZm54g0TcuvroSambomnCuh6X6M3zOyk4BLAdFJ26gUr5xoBxwIlEwxXTLF/NTLkpcH5sBxtRw0f/581q9fz4IFC3ByytZIl5qm3SPiTcLHG6O4Fmrhk5+jiDdlrTOowiizwRiKpZo1H+gmIoNSPAMeBPTNgTg2A3VSTFfHOvThQeBXwFUpVT7V8m05cFztDsXHxzN//nzM5v++wTo5Odm09dU0TUtt6Y4oImMtCBARY2Hpb9H2DsluMisBv6mU+lgpNUgpVVJEfheRNPcLROTIHRw3ufScbAHwkFIquTTdG+soTGYRCQaWAd0BlFKlgdrAl3dwXC0HhISE0KFDB1577TXGjh1r73A0TcvnLCJcC01k6a9RHD5vwpRUDdeUCEcvJLD3RNYGLyhsMhuMYTKAUqoRMDqp/e1R4HsRuaPaTUopB6AX1tKuo1Jqq4jsE5FzSqlXgY+VUjeBOGB2ik3HAHOVUm9hrXzVU0Ru3UkM2t1zcXEhIiICgAMHDhAbG4u7e7b6Y9E0rRCLjrMQEGTm3HUz52+YCbiRSGxC+reaE8yw/o9YWte59+qNZHkwBgClVEOsCdQb8AfWi8j1XIrtrunBGHLPpUuXeP/995kzZ46ucKVp97BEi3A1NDFFsjVzPdzaOEYpKF/Kkaplnaha1omw6EQ2H44jIcW9VBcneKZNEVoV0gScU4MxICJHsZaCUUrVAQYrpXxFZMTdh6nlZ8eOHbMZyqtixYp8/PHHdoxI0zR7iIixcP6GmfNJCfdCkJn4pITq4aao5uPEg7VcqVrWiSplnHBzse2r6UpIIkcuWG9DOztCw8ouhTb53k6mCVgp1VxE/kxvmYicAKbnSlRavmE2m3nttddYsGABGzdu5LHHHrN3SJqm5RFzonA5ONGacJNewRHW0q2jA1Qo7UjLOq5GCde7uMNtB1oZ9LAHU1bfIjTKQvEiDgxqXzQvTiVfyvQWtFJqC7CWtD1XpZQoIjnRFjjH6VvQd+/EiRM0btyY2NhYatasyfHjx3UTI00rpEKjLEbJ9vwNMxdvmjEnffqXKKqMRFvVx4lK3k64ON3ZqGZXQs0s3hbF0I4elC9VuD9P7uYWdDBwkbQJuDTwKVAUeOauI9TyrTp16rBixQqmT5/ODz/8oJOvphUSCWbh0s3/Kkqdv2EmPNpaIHNyhEreTrSv72Yk3FIe2ek2InPlSznxTr8SOba/gup2JeCGSc99U86rC/yINXl3E5F/czfEO6dLwHfGZDLh7Gzbv4rZbNbJV9MKKBEhOMLCueRbydfNBIYkkpjUkbBXcYf/SrdlnfDzcsTJUY/ZnRPuuAScTvLtAqzCWgO6p4gE5ViUWr6wcuVK3nnnHXbv3m0ziIJOvppWcMQlCAFB/9VKPn/DTGSstbDl6gSVyzjR8T43qvpYE27xIjlXutWyLsufqkqpN7COz7sWeEFE4nMtKs0ufv/9dwYMGABAnz592LNnz20rVGiaZl8WEW6EWWwqSl0JTST55qZPCQfqV3SmWlKy9S3liKOD/r/OD26bgJVSLsBXwNPA2yLybq5HpdlFy5YtGTx4MOvWrWPatGk6+WpaPpTcyYW1slQiAUFmYuKt2dbdRVGlrCMPVLGWbquUcaKomy7d5le3ewbsA3wP1AcGici6dNbpKCL5sl9m/Qw4+xISErhy5QpVqqQ38qSmaXkpuZOL8yme3RqdXAC+pRyp6uNEtaRnt2VLOuCgvzjnK3dTC/og4Av8DNRVSk1JtdwZeBw9MEKBdPToURYvXszHH3+Mg4P1W7KLi4tOvppmJ0YnF0mvCzdsO7moWjbzTi60guV2CTgKa+k3o+EqHIHiORqRlid+//13OnfuTFRUFMWKFWPWrFn2DknT7impO7kIuGHm5l12cqEVLLdLwDNFxD+zFZRS+bITDi1z9erVo0KFCpw6dQovLy97h6NpBVZWO5UIjbJYayRf/6+TC1OqTi7a1XOlqo8TFb2ccHXWybawu10CXpX8i1LqMRHZnM46DwMHcjQqLdeVKFGCjRs34u/vT7du3ewdjqYVSMmDy4dFWQeXf6efJ67OyujkIrl0e+562k4uHkru5KKsIyU9dOn2XpTl0ZCUUutFpHeqeaOxjtvrkgux3TVdCes/oaGh7N+/n65du9o7FE0rND7bGmkMLODoAKWLOVDEVXE5OONOLip4OeKsO7m4Z+TUaEgOSqmZIjJRKeUBfAF0BrbnRJBa7jl9+jSPP/44AQEBbNu2jfbt29s7JE0r0EIiE/npQCyHz5uwJJVhEi0QdMtCWU9ldHJRpawTnrqTCy0DWU7AItJTKfWwUmoB0AGIBBoBN3MrOC1nBAcHc/HiRcxmM6tXr9YJWNOyKSLGwqkrJk5cMXMy0GRUlkpPTAL0blEkD6PTCqoME7BSqmI6s88Cx4BywBtYB2kYBczIlei0HNGyZUu++uorTpw4wbRp0+wdjqblezHxFk5fNXPyiomTgdaepcDa0UVNXycebuBGbIKFLX+nHVz+iQfd7RS1VtBkVgLeAaRsEKoASfoJ0CPFPJ2A85HExERu3LiBr6+vMa9///52jEjT8rd4k3DuurV0e/KKiQs3rV05OjtC9XJONK/pTu3yzlT0tu3G8WqoHlxeu3OZJeCPsJZ4TwIZ3W9xAJ7P6aC0OxcVFUX//v35999/+fPPP/H29rZ3SJqW75gThQtBZk4m3VI+d92M2WKtSFW5jBNdG7tRu7wzVX2cMq0wpQeX1+5GZgl4A3BdRMyZrINSal6K350BJxGJzaH4tGz6+uuv+fHHHwEYP348X375pZ0j0jT7s4gQGJxo3FI+fc1EvMl6C8/Py5GHG7hRu4ITNco5Z6t3KVdnxajHPYx2wLrtrpYdGTZDUkrVAGqLyE9Z2pG1EdtLIrIwB+O7K/diMyQRYcCAAYSEhLB27Vo8PT3tHZKm5TkR4Ua4hZNXTJwINHHqipnopAELfEo4ULuCM7XLO1OrvBMeerACLRfdUTMkETmjlKqbVMJdJCJnMznAQ8BgrBWztDwmIkYjfqUUX331FY6OjnoMX+2eEhqZaNRSPnnFZHR8UcrDgfuqWBNu7fLOlPTQCVfLHzL9hBaRH5RSV4G1SqmSwAkgGDADHoAfUAv4ARgpIrdyOV4tBRFh1qxZ+Pv7s2LFCiMJu7q62jkyTct9kbEW45byySsmgm5Zq6p4uClql3emTgUnaldw1n0oa/nWbYtIIvIX0DiplPsYUBtww9r+9xvgexG5kHshahmZO3cukyZNAqx9O0+YMMHOEWla7olNEE5fNSWVcM0Ehtg2DWpf3/oc17eUox6STysQstwVZUFU2J8BBwcH07x5cywWCxs3bqRevXr2DknTckyC+b+mQSeumLgYlIglRdOg2uWdqV3BmUqpmgZpWn6SU11RavmMl5cXW7ZsoUSJErq5kVbgmROFizfNnAw0c+JKUtOgRHBQUKWME481cqN2BWeqlXXC2UknXK3gy1cJWClVDZiEtbetUsAlEVmctKwl8AIQBsQDb0lhLr6nY+vWrYSFhdGvXz9jXo0aNewYkabdOYsIV0ISOZF0S/nMVRNxJusyPy9H2td3o84dNA3StIIiXyVgYCUwTkT2ACildiml/gauAyuA+0UkUik1E5gAzLRfqHnriy++YNiwYTg5OeHn50erVq3sHZKmZYuIcOOWxailfOqKmag463fosiUceLCmK7UrOFPT14li7rqmspa/nT9/ngsXLnDz5k2CgoIICgoyfk/++cwzz2S6j7tKwEopJ6CjiGy6m/2kUB8onmI6BigBDAB2i0hk0vzvgW1KqQ9EJC6Hjp2vVatWDQcHBxwcHAgKCrJ3ONo9LjuD0Ccn3JOBZsKirTWVSxZ1oEElZ+M5bindNEizo9DQUCOJpkygKacnTZrEo48+amwzYcIEvvnmm0z3GxAQkOnyzAZj2AjcbkgPb+AakFMJeCXwqVLKH2tN6ytYhzv8GFiVYr0TgCfQBNibQ8fO19q3b8/SpUupWbMmTZs2tXc42j0so0Howdo06NQVs9EBRsqmQbWSmwaVd6aMp24apOUOEeHWrVtpSqMpf//www8pW7assU3jxo25cOFCpvt96qmnbBJwmTJlbJYrpShdujRlypTB29ubMmXK0Lx5c5YtW5bhPjMrAZ8BfIFTWEc96oq1DfCfKdapmrQsp4zCeqv5D+AnERkMoJTyA0JSrBeFdRCICql3oJQaCgwFqFgxvQGdCoaAgAAsFgvVqlUz5ukBFbT8YOmOKCJjLQhwK8bCRxsjqFzGmROBJqNpkJsz1PR15qH6btQp74Rvad00SLtzZrOZmzdvcuPGDW7cuEFQUBA3btwgJiaGKVOmGOsFBwfj6+uLyWTKdH9jx461ScBlypRJNwGXLFnSSKilSpWyWTZ8+HB69+5tLC9dujSOjo5p9jFixIgM48gsAc8FLCJyHUApVVpERqVeSSm1PJN9ZJcbcARYAyxTSt0SkdexJtvU/UsrrB2C2EiqtLUYrM2QcjC2PPP777/Ts2dPSpcuzf79+ylZsqS9Q9I0APaeiDNG/wEwJ8KZa4mcvZ5ILV8neja3jhpUuYxuGqRlLjY21kikN27cwM3NzaaEuW/fPoYMGUJQUBAhISGkV+fW0dGRyZMn4+BgfYRRsmRJzOaMhy8oVqwYZcqUISEhwWb+xIkTiY6Otim9enl54ezsnOG+6tWrd9dNPzPrivJqqlkJqddJKpl2vKsIbK0GJorIP0qpQGCHUmo/EAikzELJvwfm4LHzjc2bNxMcHExwcDDfffcdgwcPtndI2j0u6FYif51N4McDsVjS+Vrr4ap4vUfxtAu0e4aIEBERQVBQEO7u7lSo8N8Nyh9//JGlS5falF4jIyNttm/RooVNAnZ0dMTf3z/TYzo6OhIeHm6UTh0dHZk6dSoeHh5GIk35080t/aEie/TocaenfVeyUwkrTCm1DGsFqEigLvAa8HtOBKKUKo21p63eACJyQCn1PtAO2AzUSbF6dazNkQplLxvTpk3j3LlzdOjQgRdffNHe4Wj3qKBbiRw6l8DBswlcCrYWeb2LK0KjhMQUA5S6OMETLfQg9IWRiCAiRgkTYMOGDRw4cMCm9Jr8e3x8PACjR49m/vz5xjYXL15kw4YNmR7rxo0bNtN+fn706tWLMmXKULZsWeOVcrp48eJp6hJMnTr1bk87z2Q5AYvIDKXUEOBDrH1AJ2LtA3pYDsUSCpzHtmKVYE3wfwFblFLOImLCmqTn3G6oxIIiNjYWR0dHXFxcAHBwcGDVqlW6koqW527eSuTguQQOnkvg0k1r0q1a1pEnWxWhcVVnShVz5LOtkXoQ+kLi0KFDBAYGcv369QxfS5cu5amnnjK2+e6771i5cmWm+02dTCtWrEidOnVsEmnqZOrj42Ozja+vL+vXr8+5k82HstUMSUQ+Bz5PGpghCmslrficCERERCnVBZislGoIWICbIrIGQCn1KvCxUuomEAfMzonj2tu1a9fo0aMHDRo04IsvvrAZ1UjT8sLNiP9KuheTkm6Vso70belO42oulC5mW7FED0KfP1ksFkJCQrh+/TrXrl1LN5kuW7YMPz8/Y5t+/fpx9myGA90B1s+olHx8fHBycqJMmTI2CTTl77Vr17bZpkePHna7zZufZasvaKXUA1hHQUrODsWAl0XksVyI7a4VhL6gn3jiCeNb3qpVq3j66aftHJF2LwiJTOTgWWtJ90KQNelWLuNIk2ouNK7mglfxtLU5U8pqO2Dt7ogIUVFRaZLqrVu3eOutt4z1wsPD8fLyIjEx80Yp+/bto0WLFsZ0mzZt2Lv3v5acpUuXxsfHx+bVvXt32rZta6wTHx+Ps7OzzW1pLWOZ9QWd5QSslPoKGIT1tnDK4tkhEcmXDVMLQgK+fv06zZo1o3PnzixYsCDTWneadjdCIv8r6QYkJd1K3o40re5Co2oueN8m6Wo5Kzo6mqtXr5KQkGBTm/bvv//m1Vdf5erVq1y7do2YmJg02yqljEQI1kTt6uqabvMbd3d3ypUrh4+PDx988AHNmzc3lh06dAgRwcfHhzJlyhiPwbSck1ODMXgCPkAH4DcRuaaU6kQ6TYG0rPPx8eHQoUN4eXnp285ajguNtD7TPXQugfM3/ku6vR90p0k1F7w9ddLNTcePH+fXX3/l6tWrXL16lStXrhi/R0REANC0aVMOHDhgs92ePXsy3a9SiuDgYMqVK2dMT5s2jaJFi6YpwXp4eGT42dK4ceMcOEvtTmUnAf8tIkFKqe+B0Vj7Yd4OHALuz/HI7iF6JCMtJ4VGWTicVNI9d8P6/biilzXpNq7mQhmddO+IyWTixo0bRgJNL6l269aNmTP/66J+z549vPrqq5nu9+pV2xafFSpUoE2bNvj6+lKuXDmj9JrylV6nD+PHj8+5k9XyRHYScEWl1C/AGCAxqUlSKaBcrkRWiE2cOJGmTZvSs2dPXerVckRYlIVDSSXds9etSdfPy5Fezd1pUl0n3cxYLBZu3ryZJrF27tzZ5nbtkCFDMu1WEKBmzZo208klVGdnZ3x9fW1e5cqVw9fX16a9LFi/kO/evTuHzk7Lz7KTgF8FngduYO0lazL/DZSgZdHevXuZNWsWAO+++y6TJ0+2c0RaQRUebU26B88lcPaaNelWKO1Iz2buNK7ugk8JnXQBIiIicHNzs3m+OX78eP78808uXbpEYGBgmp6RAIoUKWKTgH19fdOs4+DggI+Pj5FUH3zwQZvljz76KDdv3qRUqVK60pKWRnbaAccCC5VSXkBDYH6K0Ym0LAoKCqJkyZLExsbqvp21bAuPtnD4vPX28tlrZgQoX8qRHs2sz3R9St5bSVdECAgI4NKlS1y+fDndnxEREezZs4fWrVsb2x04cICdO3dmuu+wsDCb6R49elCxYkV8fX0pX748vr6+lClTJt3+f5MVKVKEIkVuN6aNdq/KcgJWShXB2sdycjuZeKXUF8BrhaVDjLzQu3dv2rZtyx9//EGVKlXsHY5WANyK+S/pnrn6X9Lt3sz6TLdcIU26FouFGzdupEmqs2fPtinN1qtXj7i4zEclvXTpks10o0aNiIuLo2LFilSsWBE/Pz8jqfr6+uLj45OmRnDz5s1tSsSadrey0wzpC6AysBDrSEkArYHyIpIv76MWhGZImpaeiBRJ93RS0vUt5Ujjai40qeaCb6mCnXRFhJiYGIoW/a8Tj+vXrzNu3Dgj0QYGBqbbrOb8+fM2X15r1qzJmTNnjOlSpUoZSTX5Z7du3ahbt27unpSmpSOnmiEVE5EOqeb9q5R6+44ju4dER0fbfNhoWmpG0j2XlHQFypV04PEmbjSu7lLgOrwwmUxcuHCBs2fP2rwuXLjApUuX8PDwsOllycXFha+//jrTfbq7u3Pz5k2bBPzhhx/i7OyMn58ffn5++v9MKzCy8x99IoP59+VEIIXZzp076du3L++99x7PP/+8roxxj8ms16jIWAt/JyXdk1esSdenhANdG7sZJd38XFM+Pj6egIAAYmJiaNSokTF/69atdO3aNdOemaKiooiPj8fV1RWwDiVXu3ZtSpcunaYEm/x7qVKl0lyPLl265M7JaVouy04CdlBKPQ/sBpyB+sBLwOXcCKywMJlMjBw5kuDgYEaNGkXnzp0pX768vcPS8ki8Sfh4YxRhURY++TmKd/p5kmAW/g6w3l4+dcWMRaBsCQe6NHKjSXUXyuezpBsXF8f58+c5c+aMTUn2zJkzXLp0CRFJ05lE+fLl0yTfIkWKUL16dapUqWIk1pTrKKU4cSKj7/maVvhkJwHPAD4BPgOSH0B9A7yS00EVJk5OTrzzzjuMHj2al19+WSffe8zSHVFExloQrG11J34dTlScYBEo4+lA50ZuNK3mQvnS9k26MTExnDt3jrNnz1KiRAnat29vLPvqq68YOXJkptun7tC/WrVqTJgwgerVq1O9enVq1KiBj49PvvpioWn2lq3BGACSmiFVBS6KyI3brW9P+akSVlRUFC4uLrqv1XvIbv9YVu+JxZzqLmyDik70fLAIfnZIugEBARw6dChNSTZlb0zdu3fnhx9+MKZ/+eUXOnbsaEwXL16cGjVqUKNGDSPBVq9enZYtW+oEq2mp5FQlLABEJBgITrHzviLy7V3Ed0/w8PCwdwhaHgm6lcjeE/FsORxHel9vL9xMpKJX7lSoEhECAwM5fPgwx44do3HjxnTu3NlY/tVXXzF9+vRM95G6NNuoUSOWL19uJNzSpUvrRKtpOSDDTwGl1N9YB2DIjMLaFaVOwKn8/fffeHl52Yy9qRVeCWbh8PkE9vrHc+qqGaWgfGkHrodbbErALk7wxIPuOXJMEeHixYscOnSIw4cPGz9v3rxprDN8+HCbBFy9enXjd29vb5sSbHKCrVatms1xSpcuzbPPPpsjMWua9p/MvoZvB2KAAEj3izyAA9Atp4Mq6OLj43n66acJDAxk1qxZvPKKfkxeWF0KNrPXP54/zyQQEy94F3egZ3N3WtZypaSHA59tjeTIBROmRHB2hIaVXWhVxy3bx7FYLCQkJODm9t+2Q4YM4csvv8x0u5TJGKw1hg8dOkS1atXw9Lzd92tN03JTZgl4PhAuImkHo0xBKbU5Z0Mq+DZv3sypU6cAazLWCpeYeAsHziSw90Q8F28m4uQIjaq60KauKzV9nXBIcXt20MMeTFl9i9AoC8WLODCo/e3bqFosFk6fPm1Tqj18+DBvvvkmEydONNarU6eO8buDgwO1a9emcePGNGrUiMaNG3PfffdRvHhxm317e3vr0bc0LZ/IMAGLyNWMlqVa73rOhVM49OzZk19//ZUFCxbcdigyrWAQEc5cM7P3RDyHziWQYLYOfPB0myI0r+FCUbf023a7OitGPe5htAN2dU7/2em2bdvYtGkThw4d4p9//iEqKirNOocPH7aZfuyxx3BxcTGSre6AQtMKlmzXgi5I8lMtaK1guhVjYf+pePaeiOdGuAV3F0WzGi60qeNKRe/s1WI2mUz4+/tz6NAh6tWrZ9Ov8JgxY/jwww/TbOPs7Ez9+vVp3LgxDz/8ME8//XSadTRNy79ytBa0phV2iRbh+CUTe07Ec/SCCYtAjXJOdGlkHfwgo1JsSgkJCRw7dsymgtTRo0eNRxKvvvqqTQJu1KgRrq6uNGzY0LiF3KhRI+rXr2/0FKVpWuFy1wlYKeUoIhn3N3ePiIuL46WXXuKNN96weTanFRw3byWy92Q8+07GEx4tFHNXPHqfG63quGZrxKE33niDDz/8MN2BBJL9+++/NtN9+/alX79+ODs733H8mqYVLDlRAh6GdYSke9rcuXNZunQpK1eu5LfffqNVq1b2DknLApNZOByQwO8n4jkRaG0+VN/PmafbuNKwkjNOjumXdq9evcr333/Phg0bePzxx22e9ZcsWdIm+RYtWpQHHnjAKNk2btyYWrVq2ewvZe1mTdPuDZm1A74GlMnifu75BBwREYGDgwN16tTRY4YWAIHB1gpV+09bmw+VLuZAj2butKztSimP9CtUnTlzhg0bNrBhwwb++OMPY37qWsWPPPIIY8aMMZJtjRo1Mh20XdO0e1NmJeBFwBXgHJm3A34yp4MqiObOncvTTz+NiODkpB+t50exCcJfZ+LZcyKeC0GJODnAA1VdaF3HldoVbJsPJTt9+jRff/01GzZs4NixY2mW+/r6pnnk0KxZM5o1a5Zr56FpWuGQWab4GIgTkbiMVlBKlQMm53hUBVTK4di0/EFEOHfdzJ4T8Rw8a20+VL6UI0+1KsKDtVzwyKD5ULLdu3fz7rvv2syrUaMGvXv3plevXjRt2lQPL6lp2h3JrB1weOp5SqmSgAfWLigBSgOjgedyMiilVA2sJeuzwHEROaaUagm8AIQB8cBbYuc2VAkJCTg6Ourbi3aS2Ti7ESmaD10Pt+DqDM1rutKmjiuVy9g2H4qPj2fHjh1s2LCB6OhoVq5caSzr3r07w4YN4/7776dXr1706tWLunXr6r6QNU27a1luB6yUmgmMJ+3t6MsiUjnHAlKqK9AfeCG59K2U8gN2AveLSGRSLFEiMjOzfeV2O+ApU6bw888/s3DhQv3cN4/Fm4Qpq28RFmWhVDEH3unnibMjHL9sYu+JeI5cMJFogWo+TrSp40rj6i64pWg+FBkZyebNm9mwYQM///wzkZGRgHX4yBs3blCqVClj3Rs3blC2bNk8P0dN0wq+nGoH3Ah4EGgD7MBaEu0A+N91hEmUUg8A7wHNU936HgvsFpHIpOnvgW1KqQ8yu0Wem86ePcvs2bNJSEhg5MiR/PXXX7pUlIdSjrN7K9rCjHW3iEuAsGgLHm6Khxu40bqOK76l/rs7ERMTw5o1a9iwYQO//PJLmm5CXVxc6NChA6GhoTYJWCdfTdNyQ3YS8G4ROaCUOg08JyIfKaW+AnYDrXMono+Bv4F3lVLNgG9E5BOgI7AqxXonsI7U1ATYm0PHzpby5cvz5ptvMnfuXD799FOdfPPQ3hNxHL1oHeAAwGyBa2EWfEs68FRrD+6rnH7zIbPZzEsvvURCQoIxz8PDg65du9KrVy8ee+yxNH0na5qm5ZbsJOBaSqnPgZmAt1LqHcAbqJsTgSilqmFN5HNE5Cel1EPAr0qpSMAPCEmxehTWW+EV0tnPUGAoQMWKFXMitHS5u7szbdo0Ro0ahZeXV64dR0tr3b5YEsxp50fGCY2ruXDixAmjudD3339P+fLlAetA8h06dODAgQP06NGDXr168cgjj+g2uJqm2UV2EvDrwBtYE990YAHWEujoHIqlYdLPLQAislMptRN4PumYsanWV0Caj2ERWQwsBusz4ByKLUM6+eadmHgLGw/GEROf9m11crBgCdxC7drTjZGoAL7//ntGjhxpTC9ZsoTSpUvrinOaptlddhLwOGCTiFxImn4xl2JxApK7Efob6AwEAiVTrJv8e2AOx3BbO3bsoGXLlrrUlIcSLcJu/3h+PBBLdJzQsrYLkXHC8YvxJIoDiaY4zh3ZxG9LhthsV7duXTw8PGzmlSmT1b5lNE3Tcld2EnA/4LvUM5VSpUQkNAdi+SfpZ03gSNLvZuAYcBVI2dtBdayVwPJ0qKNTp07RuXNnKlWqxJIlS2jdOqcefWsZOXYpgW9+j+VaWCK1fJ14slURKno7EW8SRnxyHeVSkpiIIPastHYF2bx5c6O5UM2aNe0cvaZpWsayk4BHAW2UUjf4rymSI/Aa8MrdBiIiZ5RS64Gn+S8Bt8R66zsU2KKUchYRE9Ab67PidJ4E5p6PP/4Yk8nEuXPndAk4l10LTeSbfTEcu2TCq5jCJ2YrDYt4UdH7UcA6zm4rn9Ns8i9J9PHFfPjBHHr27Gk879U0TcvvstMO+BxQBdt2wAoQEcmRB2pKqWLAp8ApoChwVETWJi3rAnQDbgIW4J3bdcSR0+2AzWYzCxYs4MqVK8yZMyfH9qv9JzLWwk9/xbLreDyuzlBOneB/0wdy6cJ56tWrxz///GN09RkbG0tsbKxNkyFN07T8JKfaAS/G2uTnCv8lYQUMv7vw/pPUzjfdXrVEZBOwKaeOdSecnJxsRr3Rco45Udjxbxw/H4ojLkGoViKY7z4dzoF9v9msd/XqVaN2u7u7O+7u7vYIV9M07a5lJwEvAKIBLxG5qZQqLiIRSql3b7ehpmVERDhywcS3+2IIumWhcql4Dv76DotXf2as4+Pjw7vvvsugQYP0QBeaphUa2elFvhYQACxLmq6olPoE663iQsvf35/Ro0dz69Yte4dS6FwONjPvx0gWbI7C0QGKXFvD1AF+fJ+UfN3d3ZkyZQpnzpxh8ODBOvlqmlaoZCcBLwTWAP8CiMgxYCvwZS7ElS+ICCNHjuSjjz6iXr16REVF2TukQuFWjIXlv0Xz7jcRBAYn8nSbIkx50pOiiYEkJiailOKFF17gzJkzvPPOO2maEmmaphUG2SlSHBSR8UqplA9BHYC2ORxTvnHr1i0sFgsAvXv31ongLpnMwi9H4th0OBZTIjxQIZqBHctTNGlIwPHjx3Pu3DkmTpzIfffdZ+doNU3Tcld2EvCNpJ8CoJQqCkwCjud0UPlFiRIl2LlzJ6tXr6ZLly72DqfAEhEOnkvgu/2xhERaqFDsFtuWvMraw7vpe/YsRd2svYkVL16ctWvX2jlaTdO0vJGdBPytUmotUFIpVR9rkyBHoFOuRJZPKKV45pln7B1GgRVww8w3v8dw9roZbw8zYX99wBdLZxvL33//fd577z07RqhpmmYfWU7AInJCKfU88DhQCesQgT+LSHguxaYVYKFRFjb8EcMfpxMo6io4Xf2BubOHYzZbexktUqQI48aNY+zYsXaOVNM0zT6ynICVUi+JyCLgmxTz6iilOovImlyJzk4OHz7Md999R8eOHWnZsiXOzs72DilfuhJqZvG2KIZ29KB8KeufUrxJ2Pp3LFv/icMiUCL+b76c+ixhwdcA6x2F559/nmnTpuleqzRNu6fdNgErpdpg7XDjQaXUsaTfk5UG3sdaO7rQWL9+PTNnzmTmzJkEBQXh7e1t75DynXiT8PHGKMKiLHzycxRTnyrOPwEm1v8RQ3i00KSaC0XCdzJweDdjm0cffZS5c+fqClaapmlkrQRsAlZi7Yby2VTLEoDPczooe7t8+TIAjRo10sk3A0t3RBEZa0GAW9EWxq8IJyYeKnk7MrRjEWqUc0akK59+0Izo6Gjef/99OnXqhFLqtvvWNE27F2SpL2ilVCWgn4jMvu3K+cjd9AUdFBTEtWvXdGktHXtPxLF6TwwJNkNhCLGXdzH6iUo0adLYmHvt2jW8vb11Jxqapt2TMusLOksdcYjIRay3mlPvuKpSqlC2Ay5TpoxOvhn4bn9squQLoMCzHuPGjSXll7py5crp5KtpmpaO7Hwy1lBKvQR48N9zYHegNeCX04Fp+U+8ydqRRlxC2rsmpvhoDvzwDm3rVSM+Pl4P16hpmnYb2UnAy4FgwIv/Ot+oCnyYwzHZjYhw5MgRGjZsiINDdnrpLNwSLcLeE/H89Fcst2KE0k7XOXnmLCX9GuPk4o45IZaEm0dY99l4GjZsaO9wNU3TCoTsJODtIjJRKdUCcBSRvUopP2BYLsWW506dOsUDDzyAl5cXy5Ytu+d7vxIR/g4wseGPGK6HW6ha1oFD68bwxc/LcHIpwhOT9+FRqjzFizgw552uuDrrClaapmlZlZ1iXimllK+I7Af6KaWKJG0/OHdCy3vbtm0DIDg4mMqVK9s3GDs7c83E7PWRLNpiHYBi5GMejO/tSdWyjgB4lSpOy7In8S3lxBt9vHXytZMrV64wduxY7r///jvex7x58+jRo8cdbx8bG8v8+fOpWrUqFy5cuOP9pLZu3Tpat27NsmXLbr9yBnFVqlSJffv25VhM6fn777+JiYnJ1WMURFeuXGH06NF07dr1tuvevHmTc+fO5UFU+Ut2SsD7gYtKqc7AWuAK4Aoczo3A7KF37964ublx4MAB6tSpY+9w7OJqaCLr/4jhyAUTxdyE1hVvMKBLHRwdrAn23XffpWLFirz++ut6cIpsio6OZujQoaxcuTLH9lmiRAmKFClCeHj4He+jU6dO1K5d+463d3Jyok6dOgQEBNzxPtLTqlUrBg0aRFZaaqTH3d2dyZMn5+r/8pdffkmtWrUoUqRIrh2joHJwcODq1atER0ffdl1vb2+2bt3KsWPH7urLYEGT5RKwiCwDSorIryKyB2gC9Ac651Zwea1ChQoMHTqUL7744p5rrxoaZWHZb9G8vfYWp66YKBn3J0vG1WHyS51IiI8z1vP19WXq1Kk6+d6BpUuXsnr1as6ePZtj+yxatChVqlTJ1jb79+9n165dxnT9+vWzVErJiLOzM7Vq1brj7TNSrlw5Spcuna1tZs6caTM9ZMgQSpYsmZNhGTZs2EBYWBitW7fOlf3ntNTve1atWrXqju5slCtXLlt/FwMGDGDDhg38888/2T5WQZWtmkYiknJA3DJASaBUjkak5amYeAvr98cweWU4+0/F06RiHL9+0om5r3chPPQmgYGBfPfdd/YOs8ATEbZs2ULZsmVZsGBBju47O18WL168SP/+/e+4VJkTMeTWft99913jMVJui42N5bXXXmPYsIJRBeZO3/d//vmHV1555Y6P6+jomK31x40bx8svv3zHxyto7riqb9Kz4OPA6ZwLR8srpkRh2z+xTPz6Fpv/jqNRVRcGNL7O20OacOJfa+cl9erVY/PmzfTv39/O0dpaunQpDz30UKav0aNH22zzzz//3Habhx56KM2xUi5bunTpHce8ZcsWOnXqxNChQ1myZEma23Jr166lRYsWLF68mFGjRlG6dGkef/xxEhMTAThz5gwDBgxgxowZtG3blk8++STd4/z4448ULVqUZs2acenSJQCOHj2Kr68vu3fvZvXq1QQEBPDll1+yYMECjh07xgsvvGBT4TA4OJgpU6Ywbdo0mjdvbtwyj4mJYciQIUybNo3evXvz/PPPG+Nl3853333HjBkzeOONNyhatCjXr18HIDw8nHHjxjFlyhS6devGuHHjMJvTNDInNDSUyZMno5TiwoULREZG8s477xjT+/bt45dffiEgIIDJkyfz77//snDhQho0aMDOnTuN/axfv56xY8cybtw4HnroIQ4cOADAgQMH6NOnD0OGDOGzzz6jUqVK1K5d27iGqa1du5ZKlSpRrFgxwJrgXnvtNRo3bszWrVupVKkSFSpU4JtvrF3nb9y4kc6dO/PWW2/Rq1cvqlWrRnR0NP7+/rzzzjuMGDGCZs2akdxx0LVr1xg3bhxz5syhYcOGxohhiYmJfPLJJ8ycOZNWrVrx2muvYbFYMo3fbDaned9Ti46OZuzYscybN482bdowfPhwIiIiWL58OaGhocybN4+VK1fyySefoJRi586dmM1m/ve//xnTyaZPn85rr73GK6+8ws8//wxAQkICL774IkopJk6caPzdTJw4kccee4zQ0FDA+plz7tw5430p9ETkrl7AlrvdR269GjduLFnVs2dPGTJkiPz6669Z3qYgSrRYZN/JOHlzeZgMXhAiH/x4Sy4GmWT//v1SsmRJwTres7z55ptiMpnsHW66pk6dasSZ0atdu3Y22/z222+33cb672Ar5bKpU6feccxPPvmkREZGytWrV8XZ2VkWLVpkszwuLk48PT2lT58+cu3aNQkMDBRHR0fZtm2biIj06dNHpk2bJiIia9asEQ8PD2PbJUuWSKVKlYzpadOmSd26dY3pM2fOyJtvvmlzTr/99puIiCQkJMiwYcOM62WxWOThhx+WixcviojIRx99JG5ubpKYmCiffvqpPPzwwyIicv36dQHk4MGDIiISEBAggAQEBKR7/lWrVjX+nubMmSPXrl0TEZEOHTrI9u3bjVhq1qwpEyZMMLarVKmSLFmyJN1jpJ6eOnWqzft+6dIlm3PdvXu3tG3b1li+bNky8fT0lKCgIDGbzdK1a1d54IEH5MCBA2IymaR+/foyceLEdM+nb9++Mnz4cGPabDbLnDlzpGTJkvLNN99IZGSkDBw4UNzd3eXy5csSHR0tdevWlZYtW8rZs2fls88+k6ioKOnbt69YLBYREXnjjTfEz89PzGazjBs3TlavXi0iIleuXJH3339fREQ++OAD2bp1q4iIhISEiLu7uyxevDhL8ae8FqktWLBAZs2aJSIi0dHR8tZbb6V7jdPbT8rpxYsXy4ABA4xlnTt3Nt4Tk8kkNWvWlNmzZxvLJ02aJP7+/jaxtG3bVqZMmZJunAURcFAyyFE50UVRcA7sw65u3rzJDz/8gIjg5eXFww8/bO+QcpyIcPyyie/2xxIYkkhFb0cGPlSMun7O/PLLL/Ts2dOoyTlnzhzGjRtn54gzVrlyZdq1a5fpOqlrBZcoUeK226Qn5TZ3WjP+5MmT+Pn54eHhgYeHB7179+bTTz9l+PDhxjqurq54enrStWtXfHx8APDx8eHaNesoUlOmTMHb25tr167x119/ERUVle6xAEaNGsX777/Ppk2b6NKlC1988QVDhgxJd11nZ2fKli3LyZMnATh48CBhYWFUrFgRgJEjR9K9e3ccHBzo06cPbdq0ITo6mu3btwNkGkdKSim6devGnDlzGDJkCO7u7hw5coTt27ezadMmI5ahQ4fy9ttvM2PGjLu+rV2hQgWb6Q8++MDmeW3//v159dVXWbp0KePGjaN06dJ4eXnRtGlTAO677z7j+qd28uRJm8pCjo6OeHt7U7x4cfr27QvA3LlzWbFiBdu2beOFF17Ay8uLhx56iGrVqlGtWjXWrl1LaGgoH330EQAWi4W6desSHBxM8eLFef3110lMTKRfv37GXajFixfz4osv4u/vD1gr0EVERODo6Jit+FMrXrw4EydOxMPDgyFDhjBixIgsbZfau+++y/z5843p5s2bG6VjJycnxo8fz5QpUxg9ejQODg6cP38+TSW5smXLcvr0vXFjNdMErJRqLiJ/3mYfWbsHlY+FhobSsWNHdu3aRceOHe0dTo67GGRm3f4YTl4x41XcgcGPFqVpdRcclMJsNjNq1ChiYmJwcHDgs88+Y/Dg/N2ybNCgQQwaNChb29x///02t8my6k62Se3TTz/FZDIxfvx4wPphffz4cX777Tfat29vrJc64Tg5ORm36sqXL8/06dOpXbs27du3Z968eRkez9PTkxEjRjBz5kw6dOjAlStXqFatWobrpzxuQEAA8fHxxrSjo6PxxcPLy4slS5ZgNpt54YUXALL8TPHnn39m2LBh3HfffTz99NMsXrzYSPomk8kY8rNGjRpERUURFhZGqVJ3V70k9fU8efIkNWrUsDm3KlWqGIOvZHb9U4uLi7ttF6tlypShTJkyhIWFGftPeYyLFy9SuXLlNI9LAN58800iIyN58cUXmTZtGitWrMDHx4eLFy/Sr18/48tFym2zE39q/fv35/r160yaNIlZs2bx+eefZ7sfhNDQUC5fvmzclk/PgAEDePvtt1m+fDmlS5emW7duadZxdXUlJCQkW8cuqG73DHiwUqqiUso3g1dloMZt9pHv1apViy1bthSoGo1ZEXQrkcXbopi+LoLAkET6tS7CtKc9aV7DFYekf1YnJyc2btxIpUqV+Oabb/J98i1owsPDCQ8P57PPPuO9997jvffeY+XKldSvXz/D57jp6dOnD/Xq1WPo0KEULVr0tuuPGTOGw4cPM3r0aHr37p3l41SoUIGTJ09y5swZY97p06e5evUqM2bM4Pjx40yePBlfX98s7xOsyW7nzp18//33bN68mblz5xqJ/dixYzbrlitXLt2ay8kVepKfi2dX5cqV0xwLrM8ds8vb2ztLpf/4+PgMawL7+vqyceNGIiMjjXn//vsv4eHhXLx4kdmzZ3P69GnKly/Pk08+aWyzatUqm/3s3r072/Gndu7cOcaOHcu5c+do06YNTz75ZIbNhxwcHNJ9Dzw8PHB0dDRK5+lxdnZm7NixzJ49m3Xr1vHEE0+kWSc2Nvauv3wVFLdLwC8CAcDlDF7ngWa5GWBecnNzKxQDB0TGWli9J5opq29x5EICXRu7MXNACR5p6IazY9rbetWqVePUqVPp/jNod2fhwoXpltaHDRvGjz/+aNMkKTExMU2JMnn64MGDBAUFER8fz44dOwDrsJnh4eEp62MYypQpw4svvsgPP/yQppTh4uJCSEiI8UGZcvtmzZpRq1YtnnjiCbZv387WrVuZN28evr6+HDx4kNDQUMxmM1u3bgUgMjKSCxcuGNtnVCKeNm0aAN27dzfa9jZv3pwHH3zQplLQ3r17GTNmjFGaSxmbl5cXTk5O7Nmzh4iICCMRXb9+ncTERFxdXQkNDSUxMZFTp06liWnUqFH88ssvxpeL4OBgbt26xdNPP33b659akyZNjJJzSiEhIcYdhMOHD1OuXDk6d/6vpWbKxNW1a1cSExN55JFH+OGHH/jpp5/43//+R4kSJfj888+5fv06FStW5MMPPzTiGDRoEJMnT2batGns3r2bSZMmGctuF3/q9z2lDRs2cOzYMby8vFi8eDFmsxkHBwdcXV2N80rezsfHh7179xIbG2t0khIUFISDgwM9evTggw8+MCqvnT9/nps3b5KQkGAca/DgwURERFChQgVcXFzSxHL16lUaNWqU7nUvdDJ6OJz0xq0COgDtMnh1AL7JbB938gI+AZammG4JfAHMBaaTNIzi7V7ZqYRVEB0+HyfDF4XI4fNxIiISl2CRn/6KkZcXh8jQhSGy/LcoCYtKtNnGYrHI+PHjZdmyZfYI+Z6yfPlyKVq0qLz99tsSGhpqzL9586a89NJLAkjz5s1l3759smHDBnF0dJTevXvL+fPnZcOGDeLm5ia9evWSy5cvy4wZM8TDw0M6deokv/76q3h7e8u4cePk6tWr0rNnT3F2dpY1a9bYHH///v3pVmYZOXKklCtXTlauXCmnT5+WVq1aSenSpWX37t0iYq201a5dOylWrJh06dJFrl69KiIiW7duFS8vL2nQoIFs27ZNGjVqJB07dpTw8HCZMmWKADJp0iS5detWmmO6urpK9+7dZe7cuTJ8+HCJiIgQEWsFo27duskzzzwjkyZNklmzZhmVkn788UdxcnKS7t27G5WA5syZY1yHffv2SaVKlWTGjBkSEREhx48fF19fX+nSpYuEhobKokWLBJDhw4dLSEiIiFgrCbVo0UImTJggI0aMkOPHj4uIyN9//y3Vq1eXWrVqyYEDB+TQoUNSt25dqVGjhhw+fDjN+ezatcumopuItTJcyZIlZfLkyTJ//nx5/vnn5dSpUyIismnTJildurTUr19f/vzzT2ObgwcPSvPmzcXDw0O6dOliVE4bNmyYVK1aVd5991155ZVXZNeuXSJiraj2xhtvSJkyZaRChQry5ZdfZjn+lO97arNmzZIyZcrIW2+9JWPHjpV169YZy7p37y5VqlQxKgSuXLlSihcvLi1atJATJ05ImTJlZPz48XLjxg25efOm9OzZU7y9vaV///7y3HPPySOPPCI//fSTzfGGDx8uZ8+eTROH2WyWUqVKyfnz59MsK6jIpBLW7RJhw8yWJ63zwO3Wyc4L6IG1dL00adoPOAcUS5qeCUzMyr6ykoB37dolmzdvlujo6OxeV7u6FZ0oQxeGyOAF1mS7+VC0vL4kVAYvCJEFmyLkaqg5zTZms1mGDBkigDg6Oqb5p9AKlzfffFMuX75s7zAKrYceekjOnTtnTKeuja6lLyEhQZ5//vl0l+3YsUMGDhyYxxHlrswScKb3W0XkaBZK0H/ftpidRUmDOzQHfk0xeyywW0SSH5R8D2xTSn0gInHcpffee4/NmzdTo0aNAlXzbvq3t7Ak3V2yCHz3RxzVfZwY3smd6uWc06wfHx/Ps88+y7fffgtYn4fdybMvLX+7efMmX3/9NV5eXkRFRaWpCazlnKVLlzJjxgwWL14M2N4u19LauXMnZ86c4d9//+XZZ59Ns9xisbBixQo++OADO0RnH/lmzD2llCMwAZiWalFHrM+ak50APLF2hXlXzGYzv//+OwBt27a9293lmSW/RhIWnfYfvYwn6Sbf6OhounfvbiTfBg0asGfPnmx3Yajlf+fOnWPmzJl89913zJo1y97hFGqVKlXi1VdfZcmSJfj7+/PDDz9w/fp11qxZY+/Q8qXNmzczYcIEoyZ/SgkJCSxevJgpU6Zku/vRgkzll29sSqkJwAYROamUWgogIoOUUlHAGyKyMGk9BSQCz4hImr90pdRQYChAxYoVG1+8eDHT4966dYvffvuNChUq0KTJXef0PDFkYWi68xWweIRt7cHQ0FAef/xx9u/fD0CLFi34+eefc61/XE271yRXMEqvQpGWNdHR0bi7uxfKcdiVUodEJN3kki+q/CqlHgEui8jJdBYLEJt6EyBtf3WAiCwGFgM0adLktt8uPD096dmzZ7bitReLRfjpYOpL8Z+WtW1Lv9euXaNjx45G04tOnTrx3XffZakZi6ZpWaMT7927Vz+T8kUCxnrruYlS6tOk6SIASqmeQCDWQR+SJf8emGfR5QNRcRa++CWa45dNtKrtwvHLJsJT3IYu6aEY9LBtA/hZs2YZyfepp55i+fLl+sNC0zQtn8gvCXgA4JZi+v2kn2OBUUDKvsqqA2HAwbs5YEJCAkopowee/OxikJlFW6O4FW3h2YeK0KaOK5Gxwrhl4VgEHBRM7uOZZrs5c+bg7+9P9erVWbBgQbZHJtE0TdNyT7644S4i10XkQvILiAKikn5fADyklErOlL2BOSKS7i3orPruu+/w8vKiV69exsgs+dEe/3je2xCBCLzRqzht67qhlKJ4EQeGdy6KkwMM71yU4kXSvpVubm5s3LiRRYsW6eSraZqWz+SXEnCGROScUupV4GOl1E0gDph9t/vdtm0bERERbN++PV92e2YyC6v3xrDHP546FZwY8qgHxdxtk+wDVVxZNNzVmN62bRvr169n4cKFRmUGNzc3NE3TtPwnXyZgERmUanoTsCknj9GjRw8SExNxcXHJd89FQyITWbQlios3E+nSyI0ezdxxcMh8ZJhvv/2W/v37YzKZcHd3txmRRNM0Tct/8mUCzgs9e/bMl7Wfj18y8fkvUVgERj7mwf1Vbv/l4PPPP2fYsGGICC4uLoVqQAlN07TCKl88A9bAIsLPB2P5aGMkJYo6MKlP8Swl39mzZzN06FBEhKJFi/Lzzz/rQRUKkH379lGpUiViYzNuXgZw6tQphg4dmuEQcYcOHaJ3797GoAdZZbFYWLt2LY0aNcqRoRfzQlavmabld/dsCTg/iYm38NWv0Ry5YKJZDRcGPlQUV+fMbzmLCOPHj2fOnDkAlCxZks2bN9O8efO8CFnLgj179jB16lR27tzJa6+9Blh7X9u9ezcNGzZk6dKl1KlTh8mTJ+Pu7p7pvnx9fUlISCAmJibd5SVKlODw4cM0bNgwWzFaLBbKli3L33/nWI+yuS6r10zT8rt7MgHPmzePEiVK0KxZMxo0aGDXWAKDzSzcEkVolIV+rYvwcAPXNANrp5aYmMjw4cP54osvAOuH87Zt23TfzvlMmzZt6N+/P7t37+b999835pvNZj7++GPA+sVpyJAht91XsWLFqFSpEhcuXEh3ebVq1fDz88t2jE5OTvm+G9bIyEiWLVvGyy+/DGT9mmlafnfP3YJOTExkwoQJDB48mBUrVtg1lj9OxTNrfQQJZmFsj2I80tDttskX4JdffjGSb7Vq1di7d69OvvlUes2/nJycGDlyZLb3dbu/jTttapafu/+LjY3l6aefJjg42N6haFqOy7//ebkkefBugKpVq9olBnOisGp3NF/+Gk3lMk689aRnuoMoZKRz585MmzaNhg0bsnfvXj2oQgESGRnJl19+iaurKzdv3mTy5Mn4+PgYy+Pi4pgzZw5vv/02zZo1Mx4xZLSvoUOHMmXKFJ5//vkMS8dgvdU8e/ZsY90nnniCGzdu2KwTGBhI27ZtKVGiBCNGjMBkMgGwe/dupkyZwtSpU/Hy8uKPP/4AICwsjOnTpzNhwgQaNWpkfKFdsWIFrVq14qOPPqJ169Y0a9aMWbNmoZTihRdeMG6jz5kzh+7duxMaGsqBAwd49tlnmTFjBs2aNTMGDlm/fj3//vsvO3bsYPLkyVy+fDnNNcvs3NauXUuLFi1YvHgxo0aNonTp0jz++OPGZ4Cm2VVG4xQWhldG4wEnJCTI2bNnJTg4OIMRHHNWYIhJpqwOk8AQk4REJsrMdeEyeEGIfLM3Wkxmyx3t02KxFLgxjO9FS5YsEaWUPPfcczJw4ECpUqWKzJ8/X0RETCaTrFq1Sqz/hlavvvqqnDx5UkRE/P39BTAGQp86daq0a9fOWPeZZ56RL774QkREYmJipGTJkjJ16tR045g+fbpMnjzZmH7++eelZcuWxjQgr7zyigQEBMi6devEzc1N5s6dKyIiTZs2NQaK/+abb2T//v0iItK/f3/jf2jTpk3i6Ogo/v7+Eh4eLp6entKrVy85ffq0rFixQkREHnnkERk1apRxzLlz50pAQICIiDRp0kSWL18uIiLvvfee1K9f31ivXbt2xnmld80yO7e4uDjx9PSUPn36yLVr1yQwMFAcHR2Na6ppuY07HQ+4sHJ2dqZatWp5cqx4k/DxxijCoix88EMkFhFMZhjW0YMm1bPW/vjq1auMGjWK//3vf3h5eQHW25FFihTJzdC1HOLg4MDSpUsBCA4O5vvvvwest6JTluREhDVr1lC5cmU2b94MWO92pC6pgnXYwdWrVxvPkt3d3TOsgGWxWJg/fz6rV6825o0cOZImTZrw119/0bRpUwB69+5N5cqVqVy5Mr/++ivff/89Y8eOpXjx4vTs2ZP333+fHj16EB0dzY0bN9i7d69R6o2NjaVDhw4EBgZSp04dPD096datGzVq1KBGjRoAvPzyy7zwwgu89957uLm5ceXKFSpXrgzAp59+Sp06dTh37hzHjh0jKioq3XNJfc2ycm6enp507drV2M7Hx4dr166lu39Ny0v3ZALOS0t3RBEZa0GAiFjB1Rkm9fGkXKmsPa87d+4cHTp04MKFC1y4cIGdO3fi4eGRu0FrucbLy4uOHTsa0ymf6968eZOwsDBGjRplPJcdPXp0uvs5cuQIIkKxYsXSXZ7SzZs3CQkJMW4pA0ZSvHz5spGAU2rQoAE7duwArLeUR4wYQZs2bejYsSMrVqzg4sWLODk52cQ3YcIEm/NK/cy6W7dueHh4sHr1aipVqsQjjzxiLCtXrhwTJkygdevWtGnThj179mR4Pqmv2e3OLXUcTk5OWCyWDPevaXnlnnsGnJf2nojj6EUTphSPm0Tg3A1TxhulcPToUVq3bm0822vatKluelEIVKxYMd35yQORr1u3zmZ+esnI09M6+Ia/v/9tj+ft7U3RokWNkbFSqlu3brrbhIWFUb9+fcA6VuuGDRvYu3cvJ0+e5I033sDX15fz58/z559/GtvExcXx119/ZRiHo6Mjw4YNY8GCBWzZssVo0ywitG/fnt69e/P0009nq2e6Ozk3Tcsv7rkE3L59e+rWrcukSZNy/Vjr/4glIdWQEQlm6/zb2bdvH+3atTMGipg0aRILFy7UgyoUMGazGYvFgvVRUFrJ80UER0dHnn32WQYPHsxHH33E7t27GTlyJGXLljXWSV6/RYsWVKhQgTfffJO4uDjjtnBQUJBNaRCst8BffvllvvzyS+Lj4wHYu3cvXbp0oXbt2sZ60dHRAJhMJjZs2MDEiRMBmDFjBomJibRq1YrXX38dEaFChQo8/PDD9OjRg6+++oqdO3cyYsQIm4qN6VV0GjJkCMeOHaNUqVJGKT8sLIzz588TFBREVFQUe/fuJTY2loCAABITE3F1dSUkJITr168TGhpqc82ycm6JiYlprn9G74em5amMHg4Xhld6lbC8vb0FkBdffDHLD9Hv1Le/R8ngBSE2rxGfhche/9hMt9uyZYu4u7sLIIDMmzcv12PVct7u3bulffv2AsikSZOMCkfJQkJCZPjw4QLIokWLxGKxSGRkpLz44otSsmRJqV69umzcuFFERM6ePSstWrSQUqVKyS+//CIiIocPH5bGjRtLlSpVZMyYMdKuXTsZOHCgHDlyJE0sCQkJMmrUKHn00UflrbfektGjR0t4eLixfMGCBfLggw/KqFGj5PXXX5cDBw4Yy2rVqiVt27aVOXPmyNChQyUwMFBERG7cuCG9e/eW4sWLy3333Sd//PGHiIisWLFCXFxc5KGHHpLjx4+nieW5556Tq1ev2swbPny4FCtWTJ588kn54YcfpFSpUvLhhx8a+ytZsqSMGzcu3WuW2blt2LBBHB0dpXfv3nL+/HnZsGGDuLm5Sa9eveTy5cvZej817U6QSSUsJYX4m2CTJk3k4MH/hg22WCyMHTuW8+fP061bN1588cVcO3ZwRCIz1kVgShQSLWBOBGdHuK+KC8M6ZvwM95tvvmHAgAGYTCYcHBz44osveP7553MtznvJlVAzi7dFMbSjB+VL6eoPmqblPqXUIRFpku6yeykB55U4kzB7fQQhkRbG9izGgk3Wnq5KF3PgnX6eGXYzGRYWRtWqVQkPD8fFxYU1a9bQq1evPI6+cIo3CVNW3yIsykKp27wPmqZpOSWzBHzPPQPObRYRvtoexZXQRIZ2LEpFLydGPe6BbykHXunqkemHfsmSJfn+++/x8vJi06ZNOvnmIJva6DEWlv4Wbe+QNE27x+kScA778UAMPx2M48lWRXj0Prc72kdUVJRuapSBNXujuRycvV6MbkUnEhQhpPxTV0AZT4Vn0axXavPzcqRf66LZOramafc2XQJOsnv3bjZv3syZM2dyZf+HziXw08E4WtRyoUND19uun5iYyMsvv8zevXtt5uvkm7OCI22TL1hrtwVHFt4vn5qmFQAZ1c4qDK/UtaAfe+wxAeS+++67g7psmbt40yQjPguRmevCJcF0++4lLRaLDBw4UADx9PRMt+aqljP2+MfKiM+yXxs9J8XExMihQ4eyvP6WLVukXbt2snTp0lyM6j8xMTFSsWJF+f3337O8zdq1a+X++++/7Xp3cy5ZPcbdOHXqlAwaNEgGDx6cq8cpTHbs2CFdunSRd955J9vbnjx5UoYMGSKPPfZYLkSWc5K7XL1bZFIL+p4qAZ8/fx7I+UEYImIsLNgURRFXxUudi+HsdPvKPR9++CHLly8HoFKlSpQpUyZHY9L+07qOGw0rOeOcdLfZ2REaVnahVZ07e0SQXdevX2f27Nk2I1aFhITw5ptvMnjwYN58803efPNNpkyZwsCBAwHrEJMHDhxA8ugRkbu7O5MnT6ZOnTpZ3ubBBx/kjTfeuO16d3MuWT3G3XB3d+fUqVNp2k+n5+uvvzYGiriXNWzYkFOnTt1Rj2K3G9s6PTNnzsTX1xdvb29GjBhBbGxsmuVjx47lxRdf5Ndff7VZlpiYyOrVq7nvvvvSDFgSFBTEkCFDmDNnDu+++y4zZswwljk5OTF79uxsn1+2ZJSZC8MrdQk4MDBQdu/eLX/99dedfplJw2S2yHvrb8lL/wuRgBumLG2zY8cOcXR0FED8/Pzkxo0bORaPlr64BIu8sSxMBi8IkTeXh0lcwp0NgpFdJpNJunbtKpGRkca8s2fPSqVKlWTdunU26/r7+4uXl5dERUWJiIifn58sWbIkT+JMz8qVK23aLl+4cEFWrlx5R/uy97nczoABA+S555677XpNmzaVNm3a5H5AqcyYMSPPj3k7bdq0yXDwj9uZMmWKzcAimVm9erVMmDBB/vnnH/n888/F3d1dxowZYyz/4IMPZPjw4SJibe9eu3ZtOXPmjLH8xIkTsnDhQgHStMV/6qmnjEFARESeffZZ+eabb4zphQsXyv/+9787OMP/oEvAVuXLl6dNmzY0aZLu8/BsExFW7Ynh7DUzzz1clMplbt+29NKlSzz55JNGDz8bNmzQpd884OqsslwbPSctWLCAhg0b2jzXf+aZZ2jTpg1PPPGEzbp16tRh5syZhIaGAvYdp/eff/7hlVdeMaZDQ0Pp06cPCQkJd7S//DzmMGRtLOV9+/bh5ubGnj17OHLkSB5EZbVs2TJj/O/85G7e06yMe56sePHizJw5k/vuu4/BgwczcuRItm3bBlh7mps+fTr9+vUDrAPttG/fnrlz5xrb165d26b/9ZSOHTtGRESEMV20aFHCw8ON6aFDhzJv3jzjfzKn5e//inxu57F49vjH81gjN5rXuH2lq9jYWHr37m0MLv6///2Pxo0b53aYWpLypZx4p1+JPO2E48MPP7T559+/fz8HDhygT58+6a4/cOBAo09ogISEBEaNGkXJkiXp1auXccvvzJkzDBgwgBkzZtC2bVs++eQTY5vw8HDGjRvHlClT6NatG+PGjcNstvaJeu3aNcaNG8ecOXNo2LAh7733HmazmYULF9KgQQN27txJREQEy5cvJzQ0lHnz5rFq1SpWrVrFmTNnWL9+PTNmzODChQu8+uqr3H///cZxo6Ojeffdd5k1axatW7dm3rx5NueW3XNJ7xipzZ49m9GjRzNq1Cjatm3LtWvXiIqKYt68eVSpUoV9+/bRrVs3ihUrxvTp043tzGYzr732GhMmTGDo0KFkpbXEZ599xrfffkuVKlX49NNPbZYFBQXx9ttv4+Pjw4kTJ2jXrh2enp4sWbLEWGfZsmUMGzaMCRMm0LRpU/z9/TGbzSxevJgGDRrwww8/8Oyzz+Lp6cnQoUMBa1/f3333HaGhoUyePJn9+/dz8+ZNBg4cyPTp0+nUqZMxCIa/vz8vvvgiXbp04fvvv6d27dpUqFCBv//+G7B2RPT6668zadIkBg4cSLdu3YzuR/39/Rk/fjwzZ86kcuXKrFmzBiDDcZpT27BhAxUrVmTx4sX89ddf9OjRwxjp6sKFC/Tp08eYzq7kPsOTVa1a1ehP/dChQ4SGhto8VqxTp06a29AZfcHq378/b731FocPH+bGjRuEh4fz7LPP2mzXuHHj3PsClFHRuDC8MhoPOCf4X06QoQtD5JOfIyTRkrVKV88995zRveTLL7+ca7Fp+cPx48cFkOvXrxvzPv74YwHk6NGjt92+UqVK8swzz0hISIhcuHBBnJycZOfOnSIi0qdPH5k2bZqIiKxZs0Y8PDyM7Tp06CDbt28XEestuZo1a8qECRNERGTcuHGyevVqERG5cuWKvP/++yIicunSJQHkt99+ExGRgICANLfsKlWqZNxGTkhIkFmzZkmlSpWM5U8//bTRHeUPP/wggNHl5J2cS3rHSOnYsWPi5OQklqT/v9q1a8v7778viYmJcuDAAQFkxowZEhMTI2vWrBEnJydjDO2JEycaYwgnJiZK3bp1M70FffnyZRk2bJiIWMcxdnd3l9DQUGO52WyWb7/9VgBZtmyZJCQkyHvvvSe+vr4iIhIRESEODg5y6dIlERHp3Lmz8Rlw/fp1AWTkyJESHh4uf/zxhwBy+vRpEbGOKZ3yGowdO1ZeeOEFERFj3eDgYDGbzTJy5EipWrWqbNu2TSwWi3Tu3FmeeeYZERHZuHGjVK1aVUSsj0Y8PDyMxyB9+/Y1Kh0dOHDA+BvJyjjNYWFhMnDgQKOL0vRiTj2demzr7HjmmWeMv+/ka55ybPSlS5eKq6urzTbp/T2LWD+XR48eLUWLFpUnnnhC4uPj0xxvypQp0rZt2zuKVUTfggbg999/p1u3bvTt25dLly7d1b6CbiXy2dYoypZw5MUOHjhk4XZKWFgY+/fvB6BNmzZ88MEHdxWDlv+dPHkSwKZEm1wSzeqIP48++iilSpWiUqVKlC1blsDAQACmTJnCkCFDuHbtGn/99Zcxfu6RI0fYvn07bdu2Bay35IYOHconn3yCiFC8eHFef/11Vq5cSdmyZenfvz8AFSpUyNa5OTs7G4NEgHVYwC1bttC8eXMAunfvztmzZylXrtwdn0vqY6RWs2ZNtm/fjoiwbds2EhISiIqKwsHBwRg3+5lnnsHd3Z3GjRtjNpsJDg4mOjqa+fPn07NnT8B6KzW9IRlTWrBgASNGjAAwurD98ssvjeWOjo7G+zxw4ECcnZ1p3LixMe5wsWLF2LJlC35+fuzbt4/g4GDjPJMfQfXp0wdPT0/jrlhGYxa/9NJLTJw4kbCwMGOkrKioKCMGPz8/Hn30UZRSNjG0bduWlStXkpCQwE8//YSzs7MRQ/HixRk0aBA///wzTZs25aGHHgKs4zT36NEjw3Gag4OD6d+/P7Nnz6Z8+fKZXsOccPz4cUqVKmUMZZl8K9vN7b8KlRaLBSenrN3lMpvNeHt78+233/L777/z7LPPphlEpGzZspw+fTqHzsDWPZOAL126xMaNG1m3bl22at8luxJqZuqacM7fMPPppigEeLmLB+4uWXuWUapUKQ4cOMDgwYP55ptvcHZ2znYMWsESFxeHUsrmwyB5hJ7kGvnZ4eTkZCTw8uXLM2fOHH766Sfat29vrJOc9FOPjxsVFUVYWBhvvvkmAwYM4MUXX6Ru3brGl9HsPJNLlnKbgICANM+Hq1Wrdlfncru4nJ2dCQ0N5bXXXqNMmTL4+fkZNa3TGwMYrB/Op06dIjY2NktjKYP10dHWrVtZtWoV48ePZ/bs2VSvXp2FCxfa1AJO75jJ8QC4uroyYsQIzGYz9erVy1Ks6SlXrhxfffUVS5cu5eGHHwbIdF/J+ylWrBhHjx5l6tSpNGjQgOLFixvbzZ8/n9atW9O9e3eaNWtGZGSkcawJEyZw4MAB2rRpY3M+YH3ft2/fzqFDh253Ge9aVFQUixcvtim8JH9xTPncNiwsLMtfKF999VXq1q3LY489xt69e9m9ezfz58+3WcfV1ZVbt27d/QmkI98kYKXUg0qpg0qpKKXUHqVUwxTLWiqlvlBKzVVKTVd38GlRvHhxHnjgAerWrUvRotnrzSjeJHy8MYproRbe/z6C62GJDO/kQRnP7A0N6Onpyeeff46Pj0+2ttMKJm9vb0TEeM4G0KFDB6pWrcrKlSvT3ebmzZsEBARkuM/kD8A+ffpQr149hg4davP3nPycLfX4uOXKlaNkyZJcvHiR2bNnc/r0acqXL8+TTz55p6dno0KFCkRHR7Njxw5jXmhoKEePHr3jc7mdXbt2MWbMGD744INMnxOnlp2xlMHa9GjKlCm89957xuurr74iICCAjRs3ZmkfZ8+epXv37syePdu4O3GnRo4ciYODA2PGjKFUqVJZ3m758uWsWLGCWbNmUb16dZtlN27c4IsvvuDo0aPEx8czZMgQRG4/TnPTpk2ZMWMGAwcOtLmz6OjomO5wlHcqPj6eGTNmMH36dJvCS6NGjShTpgwnTpww5p09ezbDSleprVixwvhSXK1aNWbNmsWuXbts1omNjc3Wdc6OfJGAlVLFgTeB14EuQBFgk1LKXSnlB6wAxojIOKwxT8juMbp27crhw4c5fvw4fn5+2do2ZT/CpkSo4OVInQq3L8HGx8fzww8/ZDdUrZBo1KgRDg4OXL582Zjn7OzM4sWL+e6775g/f75NKefq1at8/fXXVKlSBbAd/zdZ8vTBgwcJCgoiPj7eSHqXL1+mVq1aPPjggyxYsMDYZu/evYwZMwalFJ9//jnXr1+nYsWKfPjhh8b+Uv90dbVWKgwJCTESVfK4vGfOnMFkMtnE5+vry6OPPspzzz3Hjz/+yO7duxkzZozx4XYn5xIeHp7udskOHTpEfHw8t27d4vjx41y6dInY2FjOnj1rfPind8yqVavSuHFj3nnnHcLCwjCbzVy6dCndsZQtFgvffvst3bt3t5nfpEkTGjdubFPRLLNjHj16lLi4OEJCQrh06RL+/v5GrMl/AxldH1dXVyIiIjCbzfj7+3Pw4EFu3rxJYmIiv/zyi/E+Xb16NdOxjw8ePEhkZCRxcXHs27ePW7duERMTw7lz55g3bx7R0dHUq1ePd999FxG57TjNye/N66+/TsuWLenbt68xJrOPjw/Xr1/nzJkzXLhwgS1bthAeHm58GU39vo4dO9bmln5KsbGxjBo1ir59+xISEsL58+dZv349O3bswNnZmVdffZUff/wRwPgbGjNmTLrXIPW1adKkiU0FPKUUrVq1slnn6tWrNGrUKN3Y7lpGD4fz8gU0B0qlmK6HtbJSE+AjYEmKZc2AcMDtdvvNiUpYGfWitCcLvSgNGTLEqFyR3sN9rfBr3769TbvCZEeOHJHevXvL/fffL3379pVRo0bJggULJDExUUSslZGcnZ2NcWzXr18vbm5u0rt3b7ly5YrMmDFDPDw8pFOnTvLrr7+Kt7e3jBs3TkSslau6desmzzzzjEyaNElmzZplVFQaNmyYVK1aVd5991155ZVXZNeuXWKxWGTRokUCyPDhwyUkJERERLp37y5VqlSRbdu2iYi1Ek6pUqXkgw8+kMDAQOnVq5c4OzvL999/LyLWykTdu3eXYsWKSevWreXEiRN3dS7pHSOly5cvS926daV8+fLywQcfyKuvvio1a9aUo0ePyuTJkwWQt99+WwIDA2X69OkCyNSpUyU6OlrOnz8vDz30kJQrV06GDBkiPXv2lJ49e8qePXuM/QcFBcmLL74ovr6+xrjMyQ4cOCB16tQRQMaOHSs3btww/t8XLVokgYGB8sorrwggCxculPDwcGnRooV4e3vLhAkTZM6cOeLr6ys7duyQTz/9VAB56aWX5PLly/LFF18Y70VwcLBcu3ZNatWqJS1atJALFy7I0qVLxdPTU1q0aCF79uwRPz8/GTBggJw+fVoefPBB8fLyku3bt8uJEyfkoYcektKlS8uuXbvk77//looVK0rVqlVl5cqV0qtXL2nSpIlcvnxZOnXqJPfff7/MmjVLhg8fLseOHRORjMdp3rp1q5QqVUratm0r/v7+smbNGgGkY8eO8s8//4jFYpFevXpJiRIl5KWXXpLFixdLs2bNZNmyZWnGtk5ISBA/Pz/x8vKSsLAwm+tsMpmkdevWRuXV5FeJEiUkLi5ORKwV4MaNGydTpkyRl156SXbs2GGzj4sXL8pbb70lgEyePNmmstiVK1fkueeek/nz58sXX3whs2fPFrPZbLN9165dZdmyZWn+/rKKgjYesFLKHYgCygO/AatE5N2kZcWACKCNiOzNeC85MxjDa0vCiIxNe42KuSs+eL5khtstXryYYcOGAdbefHbu3GmUKrR7x2+//cayZctYunSpvUPRtHzt9ddfZ+bMmfnqczIqKorWrVvz119/3XG9nYI4GENrYKWIXAf8gJAUy6KwfgtK9ym7Umpo0rPkgzdv3vxvo6goQkNDs10Bq/eD7kYXhslcnOCJB90z3Gb//v28/PLLgPVWzHfffZev/qi0vNO+fXt8fHyMtpiapqW1efNmWrdune8+Jz/++GMWLlyYa5Vm810CTqpg9QIwNmmWALGpVwPM6W0vIotFpImINPH29jbmz5o1i9KlSxsVMLKqdR03PNz+q/N1u36Er127xhNPPIHJZMLJyYl169bh6+ubrWNqhcusWbP466+/cq0pg6YVZAkJCTzwwAP5bvzzH3/8kZYtW9KyZctcO0bedQmUda8Bc0QkKGk6EEh5r7dkivlZFhcXB5Dtb1ihURbCowU3Z4gzQfEiDgxqn35NzYSEBPr27Wu0u/voo4/SPNDX7j1KKYYOHWo07dA07T8uLi75smXIQw89RPHixXP1GPkqASul+gOHRCTl/brNQMohWqoDYUC2Hu726tWLihUrZru942//xoGC4Z08+GZfDEM7ZtyP8JgxY/j9998BeP7553nppZeydSytcMtqu1NN0+wvt5MvkH8qYSmlXgBcgC1Js0oBbYGfkubVFRGTUuo9IFxE3rvdPu+2Ela8SXhjeTi1yzvxUufMPzy3b9/Oo48+mnxc9uzZY9M7i6ZpmnbvyfeVsJRSLwFfAouAgKTXIeCaiJwDXgU+VkpNA+KAXB6k0WrfqXhi4oVH77t9In3kkUeYNWsWPj4+rF+/XidfTdM0LVP5pgScG+6mBGwR4a1Vtyjiqpj4RPEs37qOiIjIk1sXmqZpWv6XWQk4Xz0Dzk3r1q3j8uXLVKhQgb59+952/X8vmgi6ZWHwo0UzTL4mkwmLxWJTsUsnX03TNC0r8sUt6Lzw+eef89prr2V5FKLtR+IoWdSBxlUzHrXmjTfeoF27dly5ciWnwtQ0TdPuEfdMAs5OM6TLwWZOXjHTvoErTo7pl36//vprPvzwQ/78808GDx6co7FqWn7m7+/PwIEDGTJkyF3v6/Tp0zz//PM5si9NK2jumQS8bds2wsPD2bBhw23X/fVoHC5O0LZu+sn677//ZujQoYB1rNdFixblaKxa4RQdHW2Mv5vaL7/8wn333UeRIkUYMGAAffr0oUWLFsZoO6dPn+bll19GKcXTTz/NP//8k4eR2ypatCjnz59PM3DBnXB3d+fUqVM5si9NK2jumQTs6uqKp6cnJUtm3H8zQESMhT9PJ9CytitF3dJenuDgYHr16kVsbCwODg6sWbPGGAJO0zKzdOlSVq9ezdmzZ9Mse/TRR3n88cfx9fXl66+/Zt26dfTs2ZOePXuyf/9+atasaYzwMmzYsGwNv5cTLl68yKpVqwCoVKkSVatWzZH9+vn5ZTpusKYVZvdMAs6qncfiMFvgkYZpmxGZzWb69evHxYsXAZg9ezYdOnTI6xC1AkhE2LJlC2XLlrUZKjCl1P3NDhkyhMTERNauXQtYx1iF/wZszyuhoaH06dOHhIQEY56DQ859dCSfl6bda3QCTsFkFnYej6dBJWd8SqT9UJg4cSK//vorAE899RSvv/56XoeoFVBbtmyhU6dODB06lCVLlhjjomYmuYngndSsDwoKYtKkSfj4+HD69Gk6depE8eLFWbhwIUePHqVdu3YUK1aM9977rz+bsLAwpk+fzoQJE2jUqBErVqwAYNWqVZw5c4b169czY8YMm+P873//o1KlStSvX5+rV68a83fv3s3o0aOZOHEi7dq1Y/PmzcYys9nMa6+9xoQJExg6dCh3O2KZphVYGY1TWBheKccDbtu2rTRs2FCmT5+e4biNe/zjZPCCEPG/nJBmWfJ4l4A0aNBAoqKiMtyPlruWLFki7dq1k3bt2qVZ9tRTT0m7du1k1qxZNvP//vtvY5u///7bZtmsWbOkXbt28tRTT6XZX/I2S5YsuauYn3zySYmMjJSrV6+Ks7OzLFq0KM06U6dOlWrVqhnTEyZMkCJFisiZM2dERCQgIEAAmzFrM2IymWTVqlUCyKZNmyQxMVGmT58uxYsXl7Vr14rZbJZvvvlGnJycJDo6WkRE+vfvL8HBwSIismnTJnF0dBR/f38REalUqZLNNXjuueekcePGcuzYMYmPj5d69erJ22+/LSIiZ86ckbp164rJZBIRkV27domTk5McP35cREQmTpwokydPFhGRxMREqVu3rjz33HPZuZyaVmCQyXjA90w74GPHjhEaGkqbNm3SXS4ibD8SR4XSjtQun/ayeHt74+XlhdlsZsOGDRQtmv6ADFruu3DhArt27Up32R9//MHFixfTPJcPDw83tgkPD7dZdvLkSXbt2kWlSpXS7C95m4ceeuiO4z158iR+fn54eHjg4eFB7969+fTTTxk+fHiadW/dusUnn3zC5cuXiY6O5tChQ1SvXj3bx3RycjI6uH/ssccA67jUERERPPnkkwA0btwYs9lMcHAwrq6u7N271yj1xsbG0qFDBwIDA6lTp066x6hfvz716tUD4P777ycw0Do+yoIFC7j//vuNW+Vt27aldu3aLFiwgDlz5jB//nz27NkDWG9lN23aNNvnp2mFwT2TgB9//HFu3brFfffdl+7yE4FmroQmMqh9+h1vPPzwwxw8eJCLFy/qSiN2VrlyZdq1a5fusgcffJDKlStTu3Ztm/klSpQwtilRooTNstq1a9OuXbt0R2RJ3uZuKtp9+umnmEwmxo8fD1ifeR4/fpzffvuN9u3b26zr6enJK6+8csfHSin133HqZ63Jz3EtFgsXL17EycmJ0aNHG8snTJiQ5WM5OTlhNltHCD158mSagSdq1KjB5cuXOXXqFLGxsXpgCk3jHkrAy5Yty3T59qNxFHNXNKuRcccblSpVSreUpOWtQYMGMWjQoHSXrVmzJt35999/Pzt37kx32fjx443kmFpG22RVeHg44eHhfP311zbzjx49yieffJImAduLr68v58+f588//6R58+aAte38v//+m+USqiQ9s65cuXK6dyjq1atnjMft7+9PzZo1cyh6TSuYdCUs4HpYIv9eNPFQfTecnf4rNcyZM4cdO3bYMTKtoFu4cGG6XxaGDRvGjz/+aNMkyWw2G6XI9CQvS0xMzNKxkxNi8s/U81NOV6hQgYcffpgePXrw1VdfsXPnTkaMGGE0N3J1dSUkJIQzZ85gMpmMZ1jp7XfEiBGcOXOG3377DbCOk338+HGGDRtG1apVady4Me+88w5hYWGYzWYuXbpEUFCQbgus3XN0Asba8YaTIzxU77+ON9avX8+bb77Jo48+yvLly+0YnVZQrVixgpkzZ/L7778TFhZmzA8ODsbf35/ExEQGDBjA/v372bx5Mz/++COXL1/m888/58aNGzb7OnnyJB999BEAixYt4tChQ5keOzQ01Gi+9Pnnn3P9+nW++eYbY/ugoCA+//xzAL766itiY2NZtWoVrVq1YsyYMYwePZphw4ZRunRpAF544QVmzpzJxo0bOXz4MPv27ePPP//kwIEDHDp0iL/++os//viDo0eP0qBBA7777jsmTJjAuHHjeP311/nyyy+pXLkySim+/fZbSpQoQb169RgxYgSenp64urry559/5syF17QC4p4YDclkMnH48GFcXV2pWLEipUqVMtaJjrPwxvJwmlZ3YdDDHoD19ljz5s2JioqiePHi/PXXX/p2maZpmpZt+X484NwWHBzMgw8+yAMPPGCUApLt9o8nwQwdksb8vXXrFr169SIqKgqAlStX6uSraZqm5bh7IgEnD8QA4Ob2Xw9X5kRhx79x1KngRIXSTlgsFp599llOnz4NwNtvv83jjz+e5/FqmqZphd89UQu6TJky/Pzzz8THx9OoUSNj/qFzCYRHC8+2sybld999l59++gmAbt268dZbb9klXk3TNK3wuycScNGiRenSpYvNPBHhlyNx+JRwoH4lZ3788UfefvttAGrWrMmKFStytL9bTdM0TUvpns0w566buXgzkUcauqHA6CDfw8ODDRs2GO0VNU3TNC033BMl4PT8ciSOIq6KFrVcUUrx448/8sorr9C5c2fq1q1r7/A0TdO0Qu6eSMDHjx9nwYIFuLq68uqrr1K0lB9/B5jofL8brs7WjjdcXV1ZvHixnSPVNE3T7hX3RAI+f/48ixYtAqB///78ecUbBwXFE44j0iTdvp81TdM0LTfdE8+AlVJ4e3tTrFgxlJMbe/3j8XUPoWP75jz55JNERkbaO0RN0zTtHnNPJODHH3+coKAgIiIiCFPViTPB0rkvIiJs2rSJS5cu2TtETdM07R5zTyTgZBaLsP1IDJHX/iXguHU80iVLlhhjmmqapmlaXikwz4CVUk7ALCAR8AE+FJF/srOPvwMSCImCPzfOA2DcuHHG4OSapmmalpcKTAIG5gFXRWS2UqoUcEAp1VREwm63IcCVUDOfbQknOvwmF4/8TIcOHZg5c2buRqxpmqZpGSgQt6CVUt7ASGANgIiEAqeB4VnZfsbM96jsU4xl42qBgwOVq9VgzZo1ODkVpO8fmqZpWmFSIBIw8HDSz5S1pU4Aj2Rl473/hmI2xZEQewsXd0+GTf/FGOdU0zRN0+yhoBQB/YBQsR28OAKocLsN956Iw6lscxo88jIWiwlnF3cu3bLOb13H7Xaba5qmaVquKCgJWIDYVPMcAHPqFZVSQ4GhSZNRPTo2dXNwcDTO8/vZ1sL0GkuiOTTw2JHcCbdQ8AKC7R1EAaKvV9bpa5V1+lplT368XpUyWlBQEnAgUDLVvJJJ822IyGIg3T4llVIHRaRJzodX+OhrlT36emWdvlZZp69V9hS061VQngH/CrgqpcqnmFcd2GaneDRN0zTtrhSIBCwiwcAyoDuAUqo0UBv40p5xaZqmadqdKii3oAHGAHOVUm9hrXzVU0RuZXMferijrNPXKnv09co6fa2yTl+r7ClQ10vZVizWNE3TNC0vFIhb0JqmaZpW2OgErGmapml2UJCeAaeRnQEalFJDgAaAC7BLRFanWOYDzACCgFLAhKTuLguVHLxezwNTAU9gM/CKiITkbvR5K6euVYp1XIB9wKcisjSXwraLXLhWjwCNgLPAnyJyNZdCt4sc/D/sCDyBtVfAqsA3IrI3d6PPW9m8VmWB0UAdEemZaln+/IwXkQL7Aj4C3kz6vRTWf9iS6azXC9icYnoP0DrpdwfgMNA8abojsNXe55aPr1dL4HPgAeBJrI3e19v73PLjtUq13jTgFjDI3ueWn68V8DYw0d7nlN+vF1AauA4USZr2AK4AzvY+P3tcq6TlrYCfgZ2p5ufbz3i7B3AXb4w31p6wKqWYtwnrN5vU6x4Bnksx/UbyG5D0R34h1ZsVCbSw9znm0+vVJdW6I4Eoe59ffrxWKeY9DvQDLhS2BJyT1wrr4Cqr7X1OBeF6AU2AhORkBDhi/TJczN7naI9rlWL5u+kk4Hz7GV+QnwFnaYCGpNsSDYHzqdZrl3R7oyNwLnmBiFiwjrSUpYEeCpAcuV4isinVfs+n2mdhkFN/WyR1HtNSRNbkXrh2lSPXSilVEpgNnFZKLVFKbVdKdcjFuO0lp/62/sH6ObVSKeUOPAO8JSKRuRS3PdzJIDyJ6czLt5/xBTkBZ3WABr+knyGp1nPF2m+oX6plGe2noMup65Vaa+D9nAoyn8iRa6WUcgQmYP1WXljl1N9VbyAeWCYizwO7gE1KqZq5ErX95Mj1EhEz8BhQEfgL8BaRRbkTst3c8SA86ewnX37GF+QEnNUBGpLfvNhU65G0bpYHeijgcup6GZK+pVcGluRMiPlGTl2r14EFIpJ6X4VJTl2rhsAZEUku8b2PNSH3z7lQ84Wc/D8sDnwKrAVmKqX65GCc+UFOfTbn28/4gpyAszpAQ2CKZSnXiwVCs7Gfgi6nrhdg1E6cAIxI9Q21MMipazUN2K+UCldKhWMtrSxUSm3M8YjtJ6eulRPW55gAJH1pOYW1slFhkiPXSynlCawGvhSRd7F+2VuhlLJ7qS4H5dRnc779jC/ICThLAzSIyA3gb6BOqvW2Jz0L2JxymVLKAaiSej+FQE5dL5RSCpgMzJHsdwdaEOTUtaoN3J/idRWYAgzOpbjtIaeu1T9A6tvNZuBYTgdsZzl1vToAMSJiSlp/AfAn0DwXY89rOTUIT/79jLd3LbC7eWHt9/OlpN9LY62w4AnUAt5Jsd4zwNqk3xWwF2vFGLB+6/bH2nYMoDOwxd7nlo+vlwMwD2iP9fZzFawfBn3tfX757Vqls88LFLJa0Dn4d1UUuAh0TpouCZwBitr7/PLp9aoO3CBFrWesiaayvc/PHtcqxfrvYG0vnXJevv2ML9B9QSuligJzgWtYH6gvEJGjSqneWJNEXUl6/qaUGo/1jXMHfheRb1PspzowCWsbswpYq7mH5+W55IWcuF5KqTXAU6l2nQhUlELUYUJO/W2l2ucF4G0pfB1x5NT/YW1gOtb2rtWAL0TkaJ6eTB7IwevVFWsTmwNAMeC4iGzJ05PJZdm8Vq2B97DeSRkhIutS7CdffsYX6ASsaZqmaQVVQX4GrGmapmkFlk7AmqZpmmYHOgFrmqZpmh3oBKxpmqZpdqATsKZpmqbZgU7AmqZpmmYHOgFr9yylVEul1EWllHvSa4xS6rxSqnI299NJKbVTKfVcLsXppJR6Xil1OiuxKaUeUUrtSI4n6dwuKqVa3kUMtZRSi5VSqUfDKrSSrlujO9juwdyIRyt8dALWCqWk5LpdKWVRSq1VSq1SSh1USj2fYrUTwPSkhvzmpOkqd3C4q0AzrL0V5QZnrAMT1Mji+jeAB5PjSTq/6VjP705dBVyAInexjwJDKeUDvAkcv4PNg5RSM5NGw9K0DOkErBVKIrIP6ygxFhF5SkSewdqjzldKqSeT1gkTkc+Tfjdh7fz/To71L9bB0HNFUgL9MxvrHyPV8Gsi8rmIhN1FDJFYu4os8JRSxZRSL2ey3An4AnhfROKzu3+xjui0B+uXHk3LkE7AWmFmSjX9DXALax+76bmbbuEsd7FtVqQ30HhOrp8VBb7bvKTB61eT/tjWyUYCR0Uk6k6PIyKbgfZKqVp3ug+t8NMJWLtniLXfVQcgQinlrZSarpS6/v/2zjTUqiqK47+/QxoNhOZU6bOCRiobP1SaDZpS0UCSQeVrsCIICys1wowmGinTSkhTGohm+9BINmDzQDQRVJSZkVqWCpXxbPVhrds7Xe+5771Urj3XDzb37LP3Xnvtc7h3nb33OneV1ZfUVdLFkq6U9Iak2yOSShlbSJou6RdJT1Xq1pMjaZykWZJulPSepL0K/R8qaZ6ka/D4uKVIGiBprqRpku7HY8VW9o8vkvSJpOGFurdIukLSx5ImS2oKvT6IPe1Fkr6vrBaU9FlP9yNDl5mSXpO0c5zvGf1Ok/SupCvi/PGSXpR0taRJ0ff7hfu0JMawU6GPEyRNkTQ/Uh9Jg2McH0k6LMbzk6RR0ewUYB/gqJDbs8bQLqEQKee/6Ba8Akyod9+SzZxGR4PIlGljJaAZaCnkL8Bnhofj8WdPJ+xylA/GZ3mDI38pMDKOewG/AeNL+voWeCjqNeGz7yPqycH/QH8tMDDKngPuiuM++JJv78iPLepWo/+FwNFxvEPIbY78wGg7PPI3A2MLdSfiEWMux2PzjgG2BuaFrjtF3WnAq3FcT/e9gfkF3T4EZsXxHcDucbxn6DUC6IFHrHka2BHYDlgOPBbXszsesvD6aHsgvn8Pvtf9Vlz/rsBlMY5T8Aeue/BABhV9XsWDYtS6jnuFTv0K5zqkW6Hd2cCiRn8PMm26qRtJ0rlR7Pf1A/rj4dzeiYLS2W9wPjC7MLN7gZhZlvCSma3AA6YvxaOulMoxs9WSRpnZYrmH8vZARaeL8WXQyl7u23UGeBSwr5m9DGBmP0haXKhSHXh8FXBbOAk9AjxkZmslLQdWWWvkq8uBM4GRwJyigDZ0vwiP5VphJNAiSfiDxLeSRkfZ87ixWxP9f2RmS6L/L/AIP4si/zEwINqd56d0SeQ/B7rFOH6OcTwZ7T4Aji27flXsEZ//7KH/B90qLAUGSeppZn+0s/9kMyINcNLZMTObUVbWRtsm4BEzqxiwOzrQbwut3696ctZIuhs3hJ/R6kk9BFjdzr6GAKX7lWZmbvv+4SZ8BjsbmIob2XUeRsxsmaRleGzeWpTpvjO+IlCR8xOApL4ha7p5UHn497Wovh/V+9h/0bpt1gQ8bGYP1tCrWk4L7d9u6+kqW0sbMuvpVqHiwLUtkAY4WYfcA06Scn6gymFL0rAOtK8YpJpy5DFKnwEmmdnrVW1X4suh7WEl0E9S73bWbzKzSXjc1CW4c1oZPajhHd6G7t8DJ1TVP5LWWeWpVWVD26l3kfW9N2Usd1HaagPI2hI3zCs3gKykE5IGOOnMdAO6qNxxSuC/tsV84XMucJ2kqWEwry+U1ZJVXdaWnH3xGVdvSYNwg7tlGLdHgf3U+t7yLvHZX+u+X/os8Dtwq6QukvrgM9y+krrXGN94Sf3N7Dvc4aiod29JPeK6HIAHQn++0L5St57uc4Ghku6SdIikCfg+8lrgAeA+SRPiWszEl2rbuobV+XnAaEkPyP945Fx8Xxh8H7ienDWhd39JvarqfYgbzYE12rdXtwo74MvUHX6VKdlMaPQmdKZMGyMBQ4EF+NLhFKqcl3BnqHui/EJ8pndN5K/Dlw2748u1S4HFwDklfZ0G/Ak8gS+/nowbxCfwH+GacnAj+SawDLgBd4JaQquz1ETcAL4GTMaXda8EtqmhwzH4H218BlwNfArMAHaN8VmMtxdwL/A1cBUwHRgWMppx56VrccM8B9gtynYNXX+OvtrSfRzwTZRfVdBza/wd2xXAl8BxcX5YyH4d2B0Yjs9GF+Jey4cBX+Cz8YOizRnAVyHrTvyBa0dgPm5kxwCD8PfB/wROKrRbAdxccj8XAGMK+Q7rFu1mAFMb/V3ItOkmmf3vX+1LkmQDIKkZ9w4e3GBVGkosl48zs+b1kNEFeA8YYe6YlyTrkEvQSZJUqLXMutlhZq8AP0rafz3EnAXcmMY3qUca4CRJkLQHcCK+xzy20fpsAkwBDpa0W0cbSjoC+NXMHt/waiWdiVyCTpIkKUHSNub/g92RNtua2aqNpVPSeUgDnCRJkiQNIJegkyRJkqQBpAFOkiRJkgaQBjhJkiRJGkAa4CRJkiRpAGmAkyRJkqQB/A1brI8DQv3hygAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 540x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "#API Method for clay\n",
    "Gammades_s = 6.5\n",
    "r_0 = 0.134 \n",
    "z = 0 \n",
    "Gamma1 = Gammades_s\n",
    "Cu = 35\n",
    "D = 2*r_0*1000 \n",
    "X1 =z*1000\n",
    "J = 0.5\n",
    "y_c = 2.5*0.005*2*r_0\n",
    "X_R = 6*D/((Gamma1*D/Cu)+J)\n",
    "if X1 <= X_R:\n",
    "    p_u = 3*Cu + Gamma1*X1 +J*Cu*X1/D\n",
    "else:\n",
    "    p_u = 9*Cu\n",
    "p_u\n",
    "API_y = [0*y_c, 0.1*y_c, 0.3*y_c, 1*y_c, 3*y_c, 8*y_c, 0.1, .15 ]\n",
    "API_P1 = [0.00*p_u, 0.23*p_u, 0.33*p_u, 0.50*p_u, 0.72*p_u, p_u, p_u, p_u] \n",
    "P_Y_days = np.loadtxt(\"P_y_0d.csv\", delimiter=\",\")\n",
    "\n",
    "y1 = np.arange(0.00,0.12,0.01)\n",
    "Gong30_x = [ 0, 0.004405797101449271, 0.008347826086956516, 0.014028985507246372, 0.014028985507246372,0.022724637681159406, 0.03118840579710144, 0.04231884057971014, 0.05634782608695651, 0.0740869565217391, 0.0946086956521739]   \n",
    "Gong30_y = [0, 20.79397025546146, 30.800035294954807, 40.02984473066249, 40.02984473066249, 49.82797751369814, 59.81952266419981, 68.83916601437414, 78.62017277449654, 88.19659802177468 ,97.57142019497611]\n",
    "\n",
    "plt.plot(y1,P_Y_days[:,300],\"--\",linewidth=2.5,color=\"black\")\n",
    "         \n",
    "plt.plot(Gong30_x,Gong30_y, '-',marker='d',linewidth=1.5,color=\"cornflowerblue\")\n",
    "plt.plot(API_y,API_P1,\":\",linewidth=2.5,color=\"black\")\n",
    "plt.xlabel('Pile head displacement (m)',color=\"black\")\n",
    "plt.ylabel(\"Lateral load (kN/m)\",color=\"black\")\n",
    "plt.text(0.005,138,'30 days after pile installation' )\n",
    "plt.legend(['Analytical solution (present study)', \"Field observation\\n(Chaosittichai and Anantanasakul, 2018)\", \"API  method\"],frameon=False)\n",
    "plt.xlim(-0.001,  0.11)\n",
    "plt.ylim(0, 150)\n",
    "plt.rcParams[\"figure.figsize\"] = (7.5,5)\n",
    "plt.rcParams.update({'font.size': 15})\n",
    "plt.rc('font',family='Times New Roman')\n",
    "plt.savefig(\"Fig validation 6b 30days.svg\", format=\"svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "517f68d3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "df9b6fbc",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "29bde229",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
